(2x-3)2=8x

Solution for (2x-3)2=8x equation:

Simplifying
(2x + -3) * 2 = 8x

Reorder the terms:
(-3 + 2x) * 2 = 8x

Reorder the terms for easier multiplication:
2(-3 + 2x) = 8x
(-3 * 2 + 2x * 2) = 8x
(-6 + 4x) = 8x

Solving
-6 + 4x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 4x + -8x = 8x + -8x

Combine like terms: 4x + -8x = -4x
-6 + -4x = 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -4x = 0

Add '6' to each side of the equation.
-6 + 6 + -4x = 0 + 6

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

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

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5