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Let’s check out your problem:
Solve for
x
x
x
.
\newline
−
3
(
−
3
x
−
3
)
−
5
x
+
3
=
40
-3(-3 x-3)-5 x+3=40
−
3
(
−
3
x
−
3
)
−
5
x
+
3
=
40
View step-by-step help
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Solve for
x
x
x
.
\newline
−
3
(
−
3
x
−
3
)
−
5
x
+
3
=
40
-3(-3 x-3)-5 x+3=40
−
3
(
−
3
x
−
3
)
−
5
x
+
3
=
40
Distribute and simplify:
First, distribute the
−
3
-3
−
3
inside the parentheses.
−
3
(
−
3
x
)
−
3
(
−
3
)
−
5
x
+
3
=
40
-3(-3x) - 3(-3) - 5x + 3 = 40
−
3
(
−
3
x
)
−
3
(
−
3
)
−
5
x
+
3
=
40
9
x
+
9
−
5
x
+
3
=
40
9x + 9 - 5x + 3 = 40
9
x
+
9
−
5
x
+
3
=
40
Combine like terms:
Combine like terms on the left side of the equation.
\newline
9
x
−
5
x
+
9
+
3
=
40
9x - 5x + 9 + 3 = 40
9
x
−
5
x
+
9
+
3
=
40
\newline
4
x
+
12
=
40
4x + 12 = 40
4
x
+
12
=
40
Isolate x term:
Subtract
12
12
12
from both sides to isolate the term with
x
x
x
.
\newline
4
x
+
12
−
12
=
40
−
12
4x + 12 - 12 = 40 - 12
4
x
+
12
−
12
=
40
−
12
\newline
4
x
=
28
4x = 28
4
x
=
28
Solve for x:
Divide both sides by
4
4
4
to solve for x.
\newline
4
x
4
=
28
4
\frac{4x}{4} = \frac{28}{4}
4
4
x
=
4
28
\newline
x
=
7
x = 7
x
=
7
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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