Solve for x : 12x+5=10x−11 .(1 point) please

1 answer

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

  1. First, isolate the variable \( x \). Start by subtracting \( 10x \) 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. Finally, divide both sides by 2:

    \[ x = \frac{-16}{2} \]

    Thus,

    \[ x = -8 \]

So the solution is \( x = -8 \).