x-2(x-2)=2(2-5)

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

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

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

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

Combine like terms: x + -2x = -1x
4 + -1x = 2(2 + -5)

Combine like terms: 2 + -5 = -3
4 + -1x = 2(-3)

Multiply 2 * -3
4 + -1x = -6

Solving
4 + -1x = -6

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -6 + -4
-1x = -6 + -4

Combine like terms: -6 + -4 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10