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Let’s check out your problem:
Solve for
x
x
x
:
\newline
−
4
−
9
(
−
x
+
3
)
−
3
x
=
4
x
-4-9(-x+3)-3 x=4 x
−
4
−
9
(
−
x
+
3
)
−
3
x
=
4
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
−
4
−
9
(
−
x
+
3
)
−
3
x
=
4
x
-4-9(-x+3)-3 x=4 x
−
4
−
9
(
−
x
+
3
)
−
3
x
=
4
x
\newline
Answer:
x
=
x=
x
=
Distribute and Simplify:
First, distribute the
−
9
-9
−
9
inside the parentheses.
\newline
−
4
−
9
(
−
x
)
+
9
(
3
)
−
3
x
=
4
x
-4 - 9(-x) + 9(3) - 3x = 4x
−
4
−
9
(
−
x
)
+
9
(
3
)
−
3
x
=
4
x
\newline
−
4
+
9
x
+
27
−
3
x
=
4
x
-4 + 9x + 27 - 3x = 4x
−
4
+
9
x
+
27
−
3
x
=
4
x
Combine Like Terms:
Combine like terms on the left side of the equation.
\newline
(
−
4
+
27
)
+
(
9
x
−
3
x
)
=
4
x
(-4 + 27) + (9x - 3x) = 4x
(
−
4
+
27
)
+
(
9
x
−
3
x
)
=
4
x
\newline
23
+
6
x
=
4
x
23 + 6x = 4x
23
+
6
x
=
4
x
Isolate x Terms:
Subtract
4
x
4x
4
x
from both sides to get all the x terms on one side.
\newline
23
+
6
x
−
4
x
=
4
x
−
4
x
23 + 6x - 4x = 4x - 4x
23
+
6
x
−
4
x
=
4
x
−
4
x
\newline
23
+
2
x
=
0
23 + 2x = 0
23
+
2
x
=
0
Subtract to Isolate x:
Subtract
23
23
23
from both sides to isolate the
x
x
x
term.
\newline
23
+
2
x
−
23
=
0
−
23
23 + 2x - 23 = 0 - 23
23
+
2
x
−
23
=
0
−
23
\newline
2
x
=
−
23
2x = -23
2
x
=
−
23
Solve for x:
Divide both sides by
2
2
2
to solve for x.
\newline
2
x
2
=
−
23
2
\frac{2x}{2} = \frac{-23}{2}
2
2
x
=
2
−
23
\newline
x
=
−
11.5
x = -11.5
x
=
−
11.5
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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