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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
.
\newline
4
(
3
x
−
2
)
−
x
+
3
=
−
16
4(3 x-2)-x+3=-16
4
(
3
x
−
2
)
−
x
+
3
=
−
16
\newline
Answer:
View step-by-step help
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Solve for
x
\mathrm{x}
x
.
\newline
4
(
3
x
−
2
)
−
x
+
3
=
−
16
4(3 x-2)-x+3=-16
4
(
3
x
−
2
)
−
x
+
3
=
−
16
\newline
Answer:
Distribute and Simplify:
First, distribute the
4
4
4
into the parentheses.
4
×
3
x
−
4
×
2
−
x
+
3
=
−
16
4 \times 3x - 4 \times 2 - x + 3 = -16
4
×
3
x
−
4
×
2
−
x
+
3
=
−
16
12
x
−
8
−
x
+
3
=
−
16
12x - 8 - x + 3 = -16
12
x
−
8
−
x
+
3
=
−
16
Combine Like Terms:
Combine like terms on the left side of the equation.
\newline
(
12
x
−
x
)
+
(
−
8
+
3
)
=
−
16
(12x - x) + (-8 + 3) = -16
(
12
x
−
x
)
+
(
−
8
+
3
)
=
−
16
\newline
11
x
−
5
=
−
16
11x - 5 = -16
11
x
−
5
=
−
16
Isolate Variable Term:
Add
5
5
5
to both sides to isolate the term with the variable
x
x
x
.
\newline
11
x
−
5
+
5
=
−
16
+
5
11x - 5 + 5 = -16 + 5
11
x
−
5
+
5
=
−
16
+
5
\newline
11
x
=
−
11
11x = -11
11
x
=
−
11
Solve for x:
Divide both sides by
11
11
11
to solve for x.
\newline
11
x
11
=
−
11
11
\frac{11x}{11} = \frac{-11}{11}
11
11
x
=
11
−
11
\newline
x
=
−
1
x = -1
x
=
−
1
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Question
Solve for x.
\newline
(
3
4
)
x
=
12
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\newline
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______
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\newline
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\newline
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\newline
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7
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answer:
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How many solutions does the following equation have?
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y
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7
(
y
−
8
)
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y
+
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1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
9
(
x
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6
)
=
−
9
x
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108
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−
9
(
x
+
6
)
=
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9
x
+
108
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Choose
1
1
1
answer:
\newline
(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
\newline
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6
(
x
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7
)
=
−
4
x
−
2
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−
6
(
x
+
7
)
=
−
4
x
−
2
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
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4
x
−
7
+
10
x
=
−
7
+
6
x
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
17
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y
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−
17
y
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64
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−
17
(
y
−
2
)
=
−
17
y
+
64
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
9
z
−
6
+
7
z
=
16
z
−
6
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9
z
−
6
+
7
z
=
16
z
−
6
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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