Solve for x. Show each step of the solution.

4 (8-x) - 32=98-5 (3x+24)

Answer: x=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

4 (8-x) - 32=98-5 (3x+24)

Step 1: Simplify both sides of the equation.

4 (8-x) - 32=98-5 (3x+24)

(4) (8) + (4) (-x) + -32=98 + (-5) (3x) + (-5) (24) (Distribute)

32+-4x+-32=98+-15x+-120

(-4x) + (32+-32) = (-15x) + (98+-120) (Combine Like Terms)

-4x=-15x+-22

-4x=-15x-22

Step 2: Add 15x to both sides.

-4x+15x=-15x-22+15x

11x=-22

Step 3: Divide both sides by 11.

11x / 11 = - 22 / 11

x=-2