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Let’s check out your problem:
Solve for
x
x
x
:
\newline
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
-8+7(2 x-4)+3 x=-1-8 x
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
\newline
Answer:
x
=
x=
x
=
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
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
-8+7(2 x-4)+3 x=-1-8 x
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
\newline
Answer:
x
=
x=
x
=
Distribute and Simplify:
First, distribute the
7
7
7
into the terms inside the parentheses.
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
-8 + 7(2x - 4) + 3x = -1 - 8x
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
−
8
+
14
x
−
28
+
3
x
=
−
1
−
8
x
-8 + 14x - 28 + 3x = -1 - 8x
−
8
+
14
x
−
28
+
3
x
=
−
1
−
8
x
Combine Like Terms:
Combine like terms on the left side of the equation.
\newline
(
−
8
−
28
)
+
(
14
x
+
3
x
)
=
−
1
−
8
x
(-8 - 28) + (14x + 3x) = -1 - 8x
(
−
8
−
28
)
+
(
14
x
+
3
x
)
=
−
1
−
8
x
\newline
−
36
+
17
x
=
−
1
−
8
x
-36 + 17x = -1 - 8x
−
36
+
17
x
=
−
1
−
8
x
Move Constant Term:
Add
36
36
36
to both sides to move the constant term to the right side of the equation.
\newline
17
x
=
−
1
−
8
x
+
36
17x = -1 - 8x + 36
17
x
=
−
1
−
8
x
+
36
\newline
17
x
=
35
−
8
x
17x = 35 - 8x
17
x
=
35
−
8
x
Combine X Terms:
Add
8
x
8x
8
x
to both sides to get all the x terms on one side.
\newline
17
x
+
8
x
=
35
17x + 8x = 35
17
x
+
8
x
=
35
\newline
25
x
=
35
25x = 35
25
x
=
35
Solve for X:
Divide both sides by
25
25
25
to solve for
x
x
x
.
x
=
35
25
x = \frac{35}{25}
x
=
25
35
x
=
7
5
x = \frac{7}{5}
x
=
5
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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