4(2x+4)+4x=76

Answer 1

To solve the equation \( 4(2x + 4) + 4x = 76 \), we can follow these steps:

1. Distribute the \( 4 \) in the term \( 4(2x + 4) \): \[ 4 \cdot 2x + 4 \cdot 4 = 8x + 16 \] So the equation becomes: \[ 8x + 16 + 4x = 76 \]

2. Combine like terms: \[ 8x + 4x + 16 = 76 \] \[ 12x + 16 = 76 \]

3. Subtract \( 16 \) from both sides: \[ 12x = 76 - 16 \] \[ 12x = 60 \]

4. Divide by \( 12 \) to solve for \( x \): \[ x = \frac{60}{12} \] \[ x = 5 \]

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