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

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

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

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

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

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

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

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

Solving
-6 + 4x = 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 + 4x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 5 + 6
4x = 5 + 6

Combine like terms: 5 + 6 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75