[(2x-4)*(2x-4)]-2x(2x-2)=26-7x

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Solution for [(2x-4)*(2x-4)]-2x(2x-2)=26-7x equation:


Simplifying
[(2x + -4)(2x + -4)] + -2x(2x + -2) = 26 + -7x

Reorder the terms:
[(-4 + 2x)(2x + -4)] + -2x(2x + -2) = 26 + -7x

Reorder the terms:
[(-4 + 2x)(-4 + 2x)] + -2x(2x + -2) = 26 + -7x

Multiply (-4 + 2x) * (-4 + 2x)
[(-4(-4 + 2x) + 2x * (-4 + 2x))] + -2x(2x + -2) = 26 + -7x
[((-4 * -4 + 2x * -4) + 2x * (-4 + 2x))] + -2x(2x + -2) = 26 + -7x
[((16 + -8x) + 2x * (-4 + 2x))] + -2x(2x + -2) = 26 + -7x
[(16 + -8x + (-4 * 2x + 2x * 2x))] + -2x(2x + -2) = 26 + -7x
[(16 + -8x + (-8x + 4x2))] + -2x(2x + -2) = 26 + -7x

Combine like terms: -8x + -8x = -16x
[(16 + -16x + 4x2)] + -2x(2x + -2) = 26 + -7x
[16 + -16x + 4x2] + -2x(2x + -2) = 26 + -7x

Remove brackets around [16 + -16x + 4x2]
16 + -16x + 4x2 + -2x(2x + -2) = 26 + -7x

Reorder the terms:
16 + -16x + 4x2 + -2x(-2 + 2x) = 26 + -7x
16 + -16x + 4x2 + (-2 * -2x + 2x * -2x) = 26 + -7x
16 + -16x + 4x2 + (4x + -4x2) = 26 + -7x

Reorder the terms:
16 + -16x + 4x + 4x2 + -4x2 = 26 + -7x

Combine like terms: -16x + 4x = -12x
16 + -12x + 4x2 + -4x2 = 26 + -7x

Combine like terms: 4x2 + -4x2 = 0
16 + -12x + 0 = 26 + -7x
16 + -12x = 26 + -7x

Solving
16 + -12x = 26 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
16 + -12x + 7x = 26 + -7x + 7x

Combine like terms: -12x + 7x = -5x
16 + -5x = 26 + -7x + 7x

Combine like terms: -7x + 7x = 0
16 + -5x = 26 + 0
16 + -5x = 26

Add '-16' to each side of the equation.
16 + -16 + -5x = 26 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 26 + -16
-5x = 26 + -16

Combine like terms: 26 + -16 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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