7x-(3x+5)-8=.5(8x+20)-7x+5

Solution for 7x-(3x+5)-8=.5(8x+20)-7x+5 equation:

Simplifying
7x + -1(3x + 5) + -8 = 0.5(8x + 20) + -7x + 5

Reorder the terms:
7x + -1(5 + 3x) + -8 = 0.5(8x + 20) + -7x + 5
7x + (5 * -1 + 3x * -1) + -8 = 0.5(8x + 20) + -7x + 5
7x + (-5 + -3x) + -8 = 0.5(8x + 20) + -7x + 5

Reorder the terms:
-5 + -8 + 7x + -3x = 0.5(8x + 20) + -7x + 5

Combine like terms: -5 + -8 = -13
-13 + 7x + -3x = 0.5(8x + 20) + -7x + 5

Combine like terms: 7x + -3x = 4x
-13 + 4x = 0.5(8x + 20) + -7x + 5

Reorder the terms:
-13 + 4x = 0.5(20 + 8x) + -7x + 5
-13 + 4x = (20 * 0.5 + 8x * 0.5) + -7x + 5
-13 + 4x = (10 + 4x) + -7x + 5

Reorder the terms:
-13 + 4x = 10 + 5 + 4x + -7x

Combine like terms: 10 + 5 = 15
-13 + 4x = 15 + 4x + -7x

Combine like terms: 4x + -7x = -3x
-13 + 4x = 15 + -3x

Solving
-13 + 4x = 15 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-13 + 4x + 3x = 15 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-13 + 7x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-13 + 7x = 15 + 0
-13 + 7x = 15

Add '13' to each side of the equation.
-13 + 13 + 7x = 15 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 15 + 13
7x = 15 + 13

Combine like terms: 15 + 13 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4