2*(2x+2)=((8x-6)-(3x+10))

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Solution for 2*(2x+2)=((8x-6)-(3x+10)) equation:


Simplifying
2(2x + 2) = ((8x + -6) + -1(3x + 10))

Reorder the terms:
2(2 + 2x) = ((8x + -6) + -1(3x + 10))
(2 * 2 + 2x * 2) = ((8x + -6) + -1(3x + 10))
(4 + 4x) = ((8x + -6) + -1(3x + 10))

Reorder the terms:
4 + 4x = ((-6 + 8x) + -1(3x + 10))

Remove parenthesis around (-6 + 8x)
4 + 4x = (-6 + 8x + -1(3x + 10))

Reorder the terms:
4 + 4x = (-6 + 8x + -1(10 + 3x))
4 + 4x = (-6 + 8x + (10 * -1 + 3x * -1))
4 + 4x = (-6 + 8x + (-10 + -3x))

Reorder the terms:
4 + 4x = (-6 + -10 + 8x + -3x)

Combine like terms: -6 + -10 = -16
4 + 4x = (-16 + 8x + -3x)

Combine like terms: 8x + -3x = 5x
4 + 4x = (-16 + 5x)

Remove parenthesis around (-16 + 5x)
4 + 4x = -16 + 5x

Solving
4 + 4x = -16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 4x + -5x = -16 + 5x + -5x

Combine like terms: 4x + -5x = -1x
4 + -1x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -1x = -16 + 0
4 + -1x = -16

Add '-4' to each side of the equation.
4 + -4 + -1x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -16 + -4
-1x = -16 + -4

Combine like terms: -16 + -4 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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