2-6x+2(2-x)=(x-3)5-3

Solution for 2-6x+2(2-x)=(x-3)5-3 equation:

Simplifying
2 + -6x + 2(2 + -1x) = (x + -3) * 5 + -3
2 + -6x + (2 * 2 + -1x * 2) = (x + -3) * 5 + -3
2 + -6x + (4 + -2x) = (x + -3) * 5 + -3

Reorder the terms:
2 + 4 + -6x + -2x = (x + -3) * 5 + -3

Combine like terms: 2 + 4 = 6
6 + -6x + -2x = (x + -3) * 5 + -3

Combine like terms: -6x + -2x = -8x
6 + -8x = (x + -3) * 5 + -3

Reorder the terms:
6 + -8x = (-3 + x) * 5 + -3

Reorder the terms for easier multiplication:
6 + -8x = 5(-3 + x) + -3
6 + -8x = (-3 * 5 + x * 5) + -3
6 + -8x = (-15 + 5x) + -3

Reorder the terms:
6 + -8x = -15 + -3 + 5x

Combine like terms: -15 + -3 = -18
6 + -8x = -18 + 5x

Solving
6 + -8x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -8x + -5x = -18 + 5x + -5x

Combine like terms: -8x + -5x = -13x
6 + -13x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -13x = -18 + 0
6 + -13x = -18

Add '-6' to each side of the equation.
6 + -6 + -13x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -18 + -6
-13x = -18 + -6

Combine like terms: -18 + -6 = -24
-13x = -24

Divide each side by '-13'.
x = 1.846153846

Simplifying
x = 1.846153846