ok u can ignore the first side for now, just work on the second side

1/2(4x-8)

2x-4

3x/4+1=2x-4

if i were u i would subtract the 1 from the first adn second side. 1-1=0, (-4)-1= -5

3x/4=2x-5

hmmm… then multiply everything by 4

3x=8x-20

subtract 8x from both sides

-5x=-20

then divide -20 by -5

-20/-5

x=4

then plug it back it to check your work!

3/4 x + 1 = 1/2 (4x) – 1/2 (8)

3/4 x + 1 = 2 x – 4

then get the x’s on one side…

3/4 x +1 -3/4 x= 2x – 4 – 3/4 x

1 = (2-3/4) x -4

get x’s by themselves…

1 + 4 = (2-3/4)x -4 +4

5 = (8/4 -3/4)x

5 = 5/4 x

solve for x

5 * 4/5 = 5/4 x * 4/5

x = 4

3x/4+1=1/2(4x-8)

First, start by distributing the right hand side.

(3x/4) + 1 = 2x-4

Then, subtract 1 from both sides

3x/4 = 2x-5

Next, multiply both sides by 4 to get rid of the fraction of the left side.

3x=8x-20

Now, bring the like terms over to one side each by subtracting 8x from the right side.

-5x=-20

Divide both sides by -5 to get x by itself.

x= 20/5

or

x=4

If you need clarification on any step, let me know

3x/4 + 1 = 2x – 4

3x/4 – 2x = -4-1

-5x/4 = -5

-5x = -20

x = 4