Answer: x=2
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2(2−x)=4(−2+x)
(2)(2)+(2)(−x)=(4)(−2)+(4)(x)(Distribute)
4+−2x=−8+4x
−2x+4=4x−8
Step 2: Subtract 4x from both sides.
−2x+4−4x=4x−8−4x
−6x+4=−8
Step 3: Subtract 4 from both sides.
−6x+4−4=−8−4
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2