5x(x-1)=5-5x

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

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

Reorder the terms:
5x(-1 + x) = 5 + -5x
(-1 * 5x + x * 5x) = 5 + -5x
(-5x + 5x2) = 5 + -5x

Add '5x' to each side of the equation.
-5x + 5x + 5x2 = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
0 + 5x2 = 5 + -5x + 5x
5x2 = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
5x2 = 5 + 0
5x2 = 5

Solving
5x2 = 5

Solving for variable 'x'.

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

Divide each side by '5'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}