(x+6)3=2x-8

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


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

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

Reorder the terms for easier multiplication:
3(6 + x) = 2x + -8
(6 * 3 + x * 3) = 2x + -8
(18 + 3x) = 2x + -8

Reorder the terms:
18 + 3x = -8 + 2x

Solving
18 + 3x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 3x + -2x = -8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
18 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 1x = -8 + 0
18 + 1x = -8

Add '-18' to each side of the equation.
18 + -18 + 1x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = -8 + -18
1x = -8 + -18

Combine like terms: -8 + -18 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26

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