4(x+8)-4=34-2x

Let's look at this again

4(x+8)-4=34-2x      distribute the 4 on the left

4x + 32 - 4  = 34 - 2x    simplify

4x + 28 = 34 - 2x        add 2x to both sides and subtract 28 from both sides

6x = 6                         divide both sides by 6

x = 1

4x+24=34-2x

34-24=4x+2x

10=6x

10/6

x=1 2/3