5x-7=(2x-2)2

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Solution for 5x-7=(2x-2)2 equation:


Simplifying
5x + -7 = (2x + -2) * 2

Reorder the terms:
-7 + 5x = (2x + -2) * 2

Reorder the terms:
-7 + 5x = (-2 + 2x) * 2

Reorder the terms for easier multiplication:
-7 + 5x = 2(-2 + 2x)
-7 + 5x = (-2 * 2 + 2x * 2)
-7 + 5x = (-4 + 4x)

Solving
-7 + 5x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 5x + -4x = -4 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-7 + 1x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 1x = -4 + 0
-7 + 1x = -4

Add '7' to each side of the equation.
-7 + 7 + 1x = -4 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -4 + 7
1x = -4 + 7

Combine like terms: -4 + 7 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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