Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises - Page 108: 57

x=3/2

$-2(3x-4)=-2x+2 \\\\ -6x+8=-2x+2 \\\\ -6x=-2x-6 \\\\ -4x=-6 \\\\ x=3/2$ We first use the distributive property on the left side of the equation to simplify. We then subtract by 8 on both sides. Next, add 2x to both sides. Finally, we divide by -4 to get that x=3/2.