solve for x

Question

-4(2x - 11) =12

-3(-4x - 3) =-27

Answer 1

Let's solve each equation step by step.

First Equation:

\[ -4(2x - 11) = 12 \]

1. Distribute \(-4\): \[ -8x + 44 = 12 \]

2. Subtract \(44\) from both sides: \[ -8x = 12 - 44 \] \[ -8x = -32 \]

3. Divide by \(-8\): \[ x = \frac{-32}{-8} = 4 \]

Second Equation:

\[ -3(-4x - 3) = -27 \]

1. Distribute \(-3\): \[ 12x + 9 = -27 \]

2. Subtract \(9\) from both sides: \[ 12x = -27 - 9 \] \[ 12x = -36 \]

3. Divide by \(12\): \[ x = \frac{-36}{12} = -3 \]

Summary of Solutions:

• For the first equation, \(x = 4\).
• For the second equation, \(x = -3\).