5-6(x-5)=x

Solution for 5-6(x-5)=x equation:

Simplifying
5 + -6(x + -5) = x

Reorder the terms:
5 + -6(-5 + x) = x
5 + (-5 * -6 + x * -6) = x
5 + (30 + -6x) = x

Combine like terms: 5 + 30 = 35
35 + -6x = x

Solving
35 + -6x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
35 + -6x + -1x = x + -1x

Combine like terms: -6x + -1x = -7x
35 + -7x = x + -1x

Combine like terms: x + -1x = 0
35 + -7x = 0

Add '-35' to each side of the equation.
35 + -35 + -7x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -7x = 0 + -35
-7x = 0 + -35

Combine like terms: 0 + -35 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5