Question

Solve for x: 3(x + 1) = -2(x - 1) + 6

Answer 1

3x+3=-2x+2+6
3x+2x+3=8
5x=8-3
5x=5
x=1
Check:
3(1+1)=-2(1-1)+6
6=6 true

Answer 2

3(x+1)=-2(x-1)+6 start by distributing 3 and -2
3x+3=-2x+2+6 combine like terms
3x+3=-2x+8 subtract 3 and add 2x to both sides
5x=5 divide by 5 on both sides
x=1