To solve the equation \( 8x - 8 = -4x + 16 \), follow these steps: 1. **Add \( 4x \) to both sides** to move the \( x \) terms to one side: \[ 8x + 4x - 8 = 16 \] This simplifies to: \[ 12x - 8 = 16 \] 2. **Add \( 8 \) to both sides** to isolate the \( x \) term: \[ 12x - 8 + 8 = 16 + 8 \] This simplifies to: \[ 12x = 24 \] 3. **Divide both sides by \( 12 \)** to solve for \( x \): \[ x = \frac{24}{12} \] Simplifying this gives: \[ x = 2 \] Thus, the solution is \( x = 2 \).

8x-8=-4x+16

1 answer

To solve the equation \( 8x - 8 = -4x + 16 \), follow these steps:

Add \( 4x \) to both sides to move the \( x \) terms to one side: \[ 8x + 4x - 8 = 16 \] This simplifies to: \[ 12x - 8 = 16 \]
Add \( 8 \) to both sides to isolate the \( x \) term: \[ 12x - 8 + 8 = 16 + 8 \] This simplifies to: \[ 12x = 24 \]
Divide both sides by \( 12 \) to solve for \( x \): \[ x = \frac{24}{12} \] Simplifying this gives: \[ x = 2 \]

Thus, the solution is \( x = 2 \).