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Let’s check out your problem:
Solve for
x
x
x
:
\newline
−
x
−
2
=
−
x
−
(
3
x
+
8
)
-x-2=-x-(3 x+8)
−
x
−
2
=
−
x
−
(
3
x
+
8
)
\newline
Answer:
x
=
x=
x
=
View step-by-step help
Home
Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Solve for
x
x
x
:
\newline
−
x
−
2
=
−
x
−
(
3
x
+
8
)
-x-2=-x-(3 x+8)
−
x
−
2
=
−
x
−
(
3
x
+
8
)
\newline
Answer:
x
=
x=
x
=
Distribute Negative Sign:
First, let's simplify the equation by distributing the negative sign on the right side of the equation.
−
x
−
2
=
−
x
−
3
x
−
8
-x - 2 = -x - 3x - 8
−
x
−
2
=
−
x
−
3
x
−
8
Combine Like Terms:
Now, let's combine like terms on the right side of the equation.
−
x
−
2
=
−
x
−
3
x
−
8
-x - 2 = -x - 3x - 8
−
x
−
2
=
−
x
−
3
x
−
8
−
x
−
2
=
−
4
x
−
8
-x - 2 = -4x - 8
−
x
−
2
=
−
4
x
−
8
Move Variable Terms:
Next, we can add
4
x
4x
4
x
to both sides of the equation to move the variable terms to one side.
\newline
−
x
+
4
x
−
2
=
−
4
x
+
4
x
−
8
-x + 4x - 2 = -4x + 4x - 8
−
x
+
4
x
−
2
=
−
4
x
+
4
x
−
8
\newline
3
x
−
2
=
−
8
3x - 2 = -8
3
x
−
2
=
−
8
Isolate Variable Term:
Now, we add
2
2
2
to both sides of the equation to isolate the term with the variable.
\newline
3
x
−
2
+
2
=
−
8
+
2
3x - 2 + 2 = -8 + 2
3
x
−
2
+
2
=
−
8
+
2
\newline
3
x
=
−
6
3x = -6
3
x
=
−
6
Solve for x:
Finally, we divide both sides of the equation by
3
3
3
to solve for x.
\newline
3
x
3
=
−
6
3
\frac{3x}{3} = \frac{-6}{3}
3
3
x
=
3
−
6
\newline
x
=
−
2
x = -2
x
=
−
2
More problems from Solve linear equations: mixed review
Question
Solve for x.
\newline
(
3
4
)
x
=
12
(\frac{3}{4})x= 12
(
4
3
)
x
=
12
\newline
x
=
x =
x
=
______
Get tutor help
Posted 1 year ago
Question
Solve for x.
\newline
−
5
9
x
=
15
-\frac{5}{9}x= 15
−
9
5
x
=
15
\newline
x
=
x =
x
=
______
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
5
x
+
8
−
7
x
=
−
4
x
+
1
5x+8-7x=-4x+1
5
x
+
8
−
7
x
=
−
4
x
+
1
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
2
z
+
10
+
7
z
=
16
z
+
7
-2z+10+7z=16z+7
−
2
z
+
10
+
7
z
=
16
z
+
7
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
7
(
y
−
8
)
=
7
y
+
42
7(y-8)=7y+42
7
(
y
−
8
)
=
7
y
+
42
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
9
(
x
+
6
)
=
−
9
x
+
108
-9(x+6)=-9x+108
−
9
(
x
+
6
)
=
−
9
x
+
108
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
6
(
x
+
7
)
=
−
4
x
−
2
-6(x+7)=-4x-2
−
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
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
-4x-7+10x=-7+6x
−
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
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
17
(
y
−
2
)
=
−
17
y
+
64
-17(y-2)=-17y+64
−
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
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
9
z
−
6
+
7
z
=
16
z
−
6
9z-6+7z=16z-6
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
Get tutor help
Posted 1 year ago
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