Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Standardized Test Prep - Page 108: 57

$x=\frac{3}{2}$

Step 1) Simplify both sides of the equation. $4−2(3x−4)=−2x+2$ $−6x+8=−2x+2$ Step 2) Add $2x$ to both sides. $−6x+8+2x=−2x+2+2x$ $−4x+8=2$ Step 3) Subtract $8$ from both sides. $−4x+8−8=2−8$ $−4x=−6$ Step 4) Divide both sides by $-4$. $-4x = -6$ Step 5) Final Answer $x=\frac{-6}{-4}=\frac{3}{2}$