x-5-2(x-1)=2(3-x)

Solution for x-5-2(x-1)=2(3-x) equation:

Simplifying
x + -5 + -2(x + -1) = 2(3 + -1x)

Reorder the terms:
x + -5 + -2(-1 + x) = 2(3 + -1x)
x + -5 + (-1 * -2 + x * -2) = 2(3 + -1x)
x + -5 + (2 + -2x) = 2(3 + -1x)

Reorder the terms:
-5 + 2 + x + -2x = 2(3 + -1x)

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

Combine like terms: x + -2x = -1x
-3 + -1x = 2(3 + -1x)
-3 + -1x = (3 * 2 + -1x * 2)
-3 + -1x = (6 + -2x)

Solving
-3 + -1x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + -1x + 2x = 6 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-3 + 1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 1x = 6 + 0
-3 + 1x = 6

Add '3' to each side of the equation.
-3 + 3 + 1x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 6 + 3
1x = 6 + 3

Combine like terms: 6 + 3 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9