6(x+2)+20x-4=8(x-2)+8

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Solution for 6(x+2)+20x-4=8(x-2)+8 equation:


Simplifying
6(x + 2) + 20x + -4 = 8(x + -2) + 8

Reorder the terms:
6(2 + x) + 20x + -4 = 8(x + -2) + 8
(2 * 6 + x * 6) + 20x + -4 = 8(x + -2) + 8
(12 + 6x) + 20x + -4 = 8(x + -2) + 8

Reorder the terms:
12 + -4 + 6x + 20x = 8(x + -2) + 8

Combine like terms: 12 + -4 = 8
8 + 6x + 20x = 8(x + -2) + 8

Combine like terms: 6x + 20x = 26x
8 + 26x = 8(x + -2) + 8

Reorder the terms:
8 + 26x = 8(-2 + x) + 8
8 + 26x = (-2 * 8 + x * 8) + 8
8 + 26x = (-16 + 8x) + 8

Reorder the terms:
8 + 26x = -16 + 8 + 8x

Combine like terms: -16 + 8 = -8
8 + 26x = -8 + 8x

Solving
8 + 26x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 26x + -8x = -8 + 8x + -8x

Combine like terms: 26x + -8x = 18x
8 + 18x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + 18x = -8 + 0
8 + 18x = -8

Add '-8' to each side of the equation.
8 + -8 + 18x = -8 + -8

Combine like terms: 8 + -8 = 0
0 + 18x = -8 + -8
18x = -8 + -8

Combine like terms: -8 + -8 = -16
18x = -16

Divide each side by '18'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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