8+2(6x-2)=-2(2x-5)+8x

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Solution for 8+2(6x-2)=-2(2x-5)+8x equation:


Simplifying
8 + 2(6x + -2) = -2(2x + -5) + 8x

Reorder the terms:
8 + 2(-2 + 6x) = -2(2x + -5) + 8x
8 + (-2 * 2 + 6x * 2) = -2(2x + -5) + 8x
8 + (-4 + 12x) = -2(2x + -5) + 8x

Combine like terms: 8 + -4 = 4
4 + 12x = -2(2x + -5) + 8x

Reorder the terms:
4 + 12x = -2(-5 + 2x) + 8x
4 + 12x = (-5 * -2 + 2x * -2) + 8x
4 + 12x = (10 + -4x) + 8x

Combine like terms: -4x + 8x = 4x
4 + 12x = 10 + 4x

Solving
4 + 12x = 10 + 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.
4 + 12x + -4x = 10 + 4x + -4x

Combine like terms: 12x + -4x = 8x
4 + 8x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + 8x = 10 + 0
4 + 8x = 10

Add '-4' to each side of the equation.
4 + -4 + 8x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 10 + -4
8x = 10 + -4

Combine like terms: 10 + -4 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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