0.75(2x+8)=2(2-2x)+13

Solution for 0.75(2x+8)=2(2-2x)+13 equation:

Simplifying
0.75(2x + 8) = 2(2 + -2x) + 13

Reorder the terms:
0.75(8 + 2x) = 2(2 + -2x) + 13
(8 * 0.75 + 2x * 0.75) = 2(2 + -2x) + 13
(6 + 1.5x) = 2(2 + -2x) + 13
6 + 1.5x = (2 * 2 + -2x * 2) + 13
6 + 1.5x = (4 + -4x) + 13

Reorder the terms:
6 + 1.5x = 4 + 13 + -4x

Combine like terms: 4 + 13 = 17
6 + 1.5x = 17 + -4x

Solving
6 + 1.5x = 17 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 1.5x + 4x = 17 + -4x + 4x

Combine like terms: 1.5x + 4x = 5.5x
6 + 5.5x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 5.5x = 17 + 0
6 + 5.5x = 17

Add '-6' to each side of the equation.
6 + -6 + 5.5x = 17 + -6

Combine like terms: 6 + -6 = 0
0 + 5.5x = 17 + -6
5.5x = 17 + -6

Combine like terms: 17 + -6 = 11
5.5x = 11

Divide each side by '5.5'.
x = 2

Simplifying
x = 2