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

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


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

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

Reorder the terms:
18 + 3x + 2(-2 + x) = 6x
18 + 3x + (-2 * 2 + x * 2) = 6x
18 + 3x + (-4 + 2x) = 6x

Reorder the terms:
18 + -4 + 3x + 2x = 6x

Combine like terms: 18 + -4 = 14
14 + 3x + 2x = 6x

Combine like terms: 3x + 2x = 5x
14 + 5x = 6x

Solving
14 + 5x = 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.
14 + 5x + -6x = 6x + -6x

Combine like terms: 5x + -6x = -1x
14 + -1x = 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -1x = 0

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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