7-(2x-2)*(4x+1)=2x*(5-4x)

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Solution for 7-(2x-2)*(4x+1)=2x*(5-4x) equation: 


Simplifying
7 + -1(2x + -2)(4x + 1) = 2x(5 + -4x)

Reorder the terms:
7 + -1(-2 + 2x)(4x + 1) = 2x(5 + -4x)

Reorder the terms:
7 + -1(-2 + 2x)(1 + 4x) = 2x(5 + -4x)

Multiply (-2 + 2x) * (1 + 4x)
7 + -1(-2(1 + 4x) + 2x * (1 + 4x)) = 2x(5 + -4x)
7 + -1((1 * -2 + 4x * -2) + 2x * (1 + 4x)) = 2x(5 + -4x)
7 + -1((-2 + -8x) + 2x * (1 + 4x)) = 2x(5 + -4x)
7 + -1(-2 + -8x + (1 * 2x + 4x * 2x)) = 2x(5 + -4x)
7 + -1(-2 + -8x + (2x + 8x2)) = 2x(5 + -4x)

Combine like terms: -8x + 2x = -6x
7 + -1(-2 + -6x + 8x2) = 2x(5 + -4x)
7 + (-2 * -1 + -6x * -1 + 8x2 * -1) = 2x(5 + -4x)
7 + (2 + 6x + -8x2) = 2x(5 + -4x)

Combine like terms: 7 + 2 = 9
9 + 6x + -8x2 = 2x(5 + -4x)
9 + 6x + -8x2 = (5 * 2x + -4x * 2x)
9 + 6x + -8x2 = (10x + -8x2)

Add '8x2' to each side of the equation.
9 + 6x + -8x2 + 8x2 = 10x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
9 + 6x + 0 = 10x + -8x2 + 8x2
9 + 6x = 10x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
9 + 6x = 10x + 0
9 + 6x = 10x

Solving
9 + 6x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
9 + 6x + -10x = 10x + -10x

Combine like terms: 6x + -10x = -4x
9 + -4x = 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -4x = 0

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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