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

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Solution for 3(x+6)+6=5x-2 equation:


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

Reorder the terms:
3(6 + x) + 6 = 5x + -2
(6 * 3 + x * 3) + 6 = 5x + -2
(18 + 3x) + 6 = 5x + -2

Reorder the terms:
18 + 6 + 3x = 5x + -2

Combine like terms: 18 + 6 = 24
24 + 3x = 5x + -2

Reorder the terms:
24 + 3x = -2 + 5x

Solving
24 + 3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 3x + -5x = -2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
24 + -2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -2x = -2 + 0
24 + -2x = -2

Add '-24' to each side of the equation.
24 + -24 + -2x = -2 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -2 + -24
-2x = -2 + -24

Combine like terms: -2 + -24 = -26
-2x = -26

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

Simplifying
x = 13

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