Question

solve for x
4 (3x + 2) =32

Answer 1

solve for x
-2(3x -15) =60

Answer 2

solve for x
5(2x - 8) = -30

Answer 3

solve for x
4(3x +2) +3 =35

Answer 4

solve for x
-2 (3x - 15) -4 =56

Answer 5

To solve the equation \(4(3x + 2) = 32\), follow these steps:

1. Distribute the 4 on the left side:
\[
12x + 8 = 32
\]

2. Subtract 8 from both sides to isolate the term with \(x\):
\[
12x = 32 - 8
\]
\[
12x = 24
\]

3. Divide both sides by 12 to solve for \(x\):
\[
x = \frac{24}{12}
\]
\[
x = 2
\]

Thus, the solution is:
\[
\boxed{2}
\]

Answer 6

To solve the equation \(-2(3x - 15) = 60\), follow these steps:

1. Distribute the -2 on the left side:
\[
-2 \cdot 3x + -2 \cdot -15 = 60
\]
\[
-6x + 30 = 60
\]

2. Subtract 30 from both sides:
\[
-6x = 60 - 30
\]
\[
-6x = 30
\]

3. Divide both sides by -6 to solve for \(x\):
\[
x = \frac{30}{-6}
\]
\[
x = -5
\]

Thus, the solution is:
\[
\boxed{-5}
\]

Answer 7

To solve the equation \(5(2x - 8) = -30\), follow these steps:

1. Distribute the 5 on the left side:
\[
5 \cdot 2x - 5 \cdot 8 = -30
\]
\[
10x - 40 = -30
\]

2. Add 40 to both sides to isolate the term with \(x\):
\[
10x = -30 + 40
\]
\[
10x = 10
\]

3. Divide both sides by 10 to solve for \(x\):
\[
x = \frac{10}{10}
\]
\[
x = 1
\]

Thus, the solution is:
\[
\boxed{1}
\]

Answer 8

To solve the equation \(4(3x + 2) + 3 = 35\), follow these steps:

1. Subtract 3 from both sides to isolate the term with \(x\):
\[
4(3x + 2) = 35 - 3
\]
\[
4(3x + 2) = 32
\]

2. Divide both sides by 4:
\[
3x + 2 = \frac{32}{4}
\]
\[
3x + 2 = 8
\]

3. Subtract 2 from both sides:
\[
3x = 8 - 2
\]
\[
3x = 6
\]

4. Divide both sides by 3 to solve for \(x\):
\[
x = \frac{6}{3}
\]
\[
x = 2
\]

Thus, the solution is:
\[
\boxed{2}
\]

Answer 9

To solve the equation \(-2(3x - 15) - 4 = 56\), follow these steps:

1. Start by distributing the \(-2\):
\[
-2 \cdot 3x + 2 \cdot 15 - 4 = 56
\]
\[
-6x + 30 - 4 = 56
\]

2. Combine like terms on the left side:
\[
-6x + 26 = 56
\]

3. Subtract 26 from both sides to isolate the term with \(x\):
\[
-6x = 56 - 26
\]
\[
-6x = 30
\]

4. Divide both sides by \(-6\) to solve for \(x\):
\[
x = \frac{30}{-6}
\]
\[
x = -5
\]

Thus, the solution is:
\[
\boxed{-5}
\]