5x = 6(x + 1 )

To solve the equation \( 5x = 6(x + 1) \), follow these steps:

1. Distribute the \( 6 \) on the right side: \[ 5x = 6x + 6 \]

2. Next, we want to isolate \( x \). Subtract \( 6x \) from both sides: \[ 5x - 6x = 6 \] This simplifies to: \[ -x = 6 \]

3. To get \( x \) by itself, multiply both sides by \(-1\): \[ x = -6 \]

Thus, the solution to the equation \( 5x = 6(x + 1) \) is: \[ x = -6 \]