Solve for x

Question

: 12x+5=10x−11
.(1 point)
x=

Answer 1

To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:

1. Subtract \( 10x \) from both sides: \[ 12x - 10x + 5 = -11 \] This simplifies to: \[ 2x + 5 = -11 \]

2. Next, subtract \( 5 \) from both sides: \[ 2x = -11 - 5 \] This simplifies to: \[ 2x = -16 \]

3. Now, divide both sides by \( 2 \): \[ x = \frac{-16}{2} \] This simplifies to: \[ x = -8 \]

Thus, the solution is: \[ x = -8 \]