Let's solve your equation step-by-step.
-4(x-2)=2-2x
Step 1: Simplify both sides of the
equation.
-4(x-2)=2-2x
Simplify:
(-4)(x)+(-4)(-2) = 2+ -2x
(Distribute)
-4x+8=2+ -2x
-4x+8=-2x+2
Step 2: Add 2x to both sides.
-4x+8 + 2x = -2x+2+2x
-2x+8=2
Step 3: Subtract 8 from both sides.
-2x+8-82-8
-2x=-6
Step 4: Divide both sides by -2.
-2x -6 = -2 -2
x=3