To solve the equation \( 4(2x + 4) = -10 \), follow these steps: 1. Distribute the 4 on the left side: \[ 4 \cdot 2x + 4 \cdot 4 = -10 \] This simplifies to: \[ 8x + 16 = -10 \] 2. Subtract 16 from both sides: \[ 8x + 16 - 16 = -10 - 16 \] This simplifies to: \[ 8x = -26 \] 3. Divide both sides by 8: \[ x = \frac{-26}{8} \] Simplifying the fraction: \[ x = \frac{-13}{4} \] Thus, the solution is: \[ x = -\frac{13}{4} \]

4(2x+4)=-10

1 answer

To solve the equation \( 4(2x + 4) = -10 \), follow these steps:

Distribute the 4 on the left side: \[ 4 \cdot 2x + 4 \cdot 4 = -10 \] This simplifies to: \[ 8x + 16 = -10 \]
Subtract 16 from both sides: \[ 8x + 16 - 16 = -10 - 16 \] This simplifies to: \[ 8x = -26 \]
Divide both sides by 8: \[ x = \frac{-26}{8} \] Simplifying the fraction: \[ x = \frac{-13}{4} \]

Thus, the solution is: \[ x = -\frac{13}{4} \]