-6(x-6)+6=2(x+2)+14

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Solution for -6(x-6)+6=2(x+2)+14 equation:


Simplifying
-6(x + -6) + 6 = 2(x + 2) + 14

Reorder the terms:
-6(-6 + x) + 6 = 2(x + 2) + 14
(-6 * -6 + x * -6) + 6 = 2(x + 2) + 14
(36 + -6x) + 6 = 2(x + 2) + 14

Reorder the terms:
36 + 6 + -6x = 2(x + 2) + 14

Combine like terms: 36 + 6 = 42
42 + -6x = 2(x + 2) + 14

Reorder the terms:
42 + -6x = 2(2 + x) + 14
42 + -6x = (2 * 2 + x * 2) + 14
42 + -6x = (4 + 2x) + 14

Reorder the terms:
42 + -6x = 4 + 14 + 2x

Combine like terms: 4 + 14 = 18
42 + -6x = 18 + 2x

Solving
42 + -6x = 18 + 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.
42 + -6x + -2x = 18 + 2x + -2x

Combine like terms: -6x + -2x = -8x
42 + -8x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + -8x = 18 + 0
42 + -8x = 18

Add '-42' to each side of the equation.
42 + -42 + -8x = 18 + -42

Combine like terms: 42 + -42 = 0
0 + -8x = 18 + -42
-8x = 18 + -42

Combine like terms: 18 + -42 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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