3(x+6)=2(3x-9)

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Solution for 3(x+6)=2(3x-9) equation:


Simplifying
3(x + 6) = 2(3x + -9)

Reorder the terms:
3(6 + x) = 2(3x + -9)
(6 * 3 + x * 3) = 2(3x + -9)
(18 + 3x) = 2(3x + -9)

Reorder the terms:
18 + 3x = 2(-9 + 3x)
18 + 3x = (-9 * 2 + 3x * 2)
18 + 3x = (-18 + 6x)

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

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

Combine like terms: 6x + -6x = 0
18 + -3x = -18 + 0
18 + -3x = -18

Add '-18' to each side of the equation.
18 + -18 + -3x = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = -18 + -18
-3x = -18 + -18

Combine like terms: -18 + -18 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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