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

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


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

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

Solving
18 + 3x = 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 + 3x + 6x = 12 + -6x + 6x

Combine like terms: 3x + 6x = 9x
18 + 9x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
18 + 9x = 12 + 0
18 + 9x = 12

Add '-18' to each side of the equation.
18 + -18 + 9x = 12 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 12 + -18
9x = 12 + -18

Combine like terms: 12 + -18 = -6
9x = -6

Divide each side by '9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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