8x+8=3(2x-4)-6

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Solution for 8x+8=3(2x-4)-6 equation:


Simplifying
8x + 8 = 3(2x + -4) + -6

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

Reorder the terms:
8 + 8x = 3(-4 + 2x) + -6
8 + 8x = (-4 * 3 + 2x * 3) + -6
8 + 8x = (-12 + 6x) + -6

Reorder the terms:
8 + 8x = -12 + -6 + 6x

Combine like terms: -12 + -6 = -18
8 + 8x = -18 + 6x

Solving
8 + 8x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 8x + -6x = -18 + 6x + -6x

Combine like terms: 8x + -6x = 2x
8 + 2x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 2x = -18 + 0
8 + 2x = -18

Add '-8' to each side of the equation.
8 + -8 + 2x = -18 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -18 + -8
2x = -18 + -8

Combine like terms: -18 + -8 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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