2(2x+1)-2(x-2)=5

Solution for 2(2x+1)-2(x-2)=5 equation:

Simplifying
2(2x + 1) + -2(x + -2) = 5

Reorder the terms:
2(1 + 2x) + -2(x + -2) = 5
(1 * 2 + 2x * 2) + -2(x + -2) = 5
(2 + 4x) + -2(x + -2) = 5

Reorder the terms:
2 + 4x + -2(-2 + x) = 5
2 + 4x + (-2 * -2 + x * -2) = 5
2 + 4x + (4 + -2x) = 5

Reorder the terms:
2 + 4 + 4x + -2x = 5

Combine like terms: 2 + 4 = 6
6 + 4x + -2x = 5

Combine like terms: 4x + -2x = 2x
6 + 2x = 5

Solving
6 + 2x = 5

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 5 + -6
2x = 5 + -6

Combine like terms: 5 + -6 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5