6(x+3)=4x-12

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Solution for 6(x+3)=4x-12 equation:


Simplifying
6(x + 3) = 4x + -12

Reorder the terms:
6(3 + x) = 4x + -12
(3 * 6 + x * 6) = 4x + -12
(18 + 6x) = 4x + -12

Reorder the terms:
18 + 6x = -12 + 4x

Solving
18 + 6x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 6x + -4x = -12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
18 + 2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + 2x = -12 + 0
18 + 2x = -12

Add '-18' to each side of the equation.
18 + -18 + 2x = -12 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = -12 + -18
2x = -12 + -18

Combine like terms: -12 + -18 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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