Solve for x

Question

. 

​5(2x − 8) = −30

Answer 1

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

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

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: \[ x = 1 \]

Answer 2

Solve for x
: 4(3x+2)+3=35
.

Answer 3

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

1. Start by distributing the 4 on the left side: \[ 12x + 8 + 3 = 35 \]

2. Combine the constants on the left side: \[ 12x + 11 = 35 \]

3. Subtract 11 from both sides to isolate the term with \( x \): \[ 12x = 35 - 11 \] \[ 12x = 24 \]

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

Thus, the solution is: \[ x = 2 \]

Answer 4

Solve for x
: −2(3x−15)−4=56

Answer 5

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

1. Start by distributing the \(-2\) on the left side: \[ -6x + 30 - 4 = 56 \]

2. Combine the constants 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: \[ x = -5 \]