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

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


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

Reorder the terms:
6(3 + 2x) = 2(3x + -6)
(3 * 6 + 2x * 6) = 2(3x + -6)
(18 + 12x) = 2(3x + -6)

Reorder the terms:
18 + 12x = 2(-6 + 3x)
18 + 12x = (-6 * 2 + 3x * 2)
18 + 12x = (-12 + 6x)

Solving
18 + 12x = -12 + 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.
18 + 12x + -6x = -12 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
18 + 6x = -12 + 0
18 + 6x = -12

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

Combine like terms: 18 + -18 = 0
0 + 6x = -12 + -18
6x = -12 + -18

Combine like terms: -12 + -18 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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