To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:
-
Subtract \( 10x \) from both sides: \[ 12x - 10x + 5 = -11 \] This simplifies to: \[ 2x + 5 = -11 \]
-
Next, subtract 5 from both sides: \[ 2x = -11 - 5 \] Simplifying this gives: \[ 2x = -16 \]
-
Finally, divide both sides by 2: \[ x = \frac{-16}{2} \] Simplifying further, we find: \[ x = -8 \]
Thus, the solution is: \[ x = -8 \]