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

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


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

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

Reorder the terms:
-18 + 9x = 2(6 + 2x)
-18 + 9x = (6 * 2 + 2x * 2)
-18 + 9x = (12 + 4x)

Solving
-18 + 9x = 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 + 9x + -4x = 12 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-18 + 5x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 5x = 12 + 0
-18 + 5x = 12

Add '18' to each side of the equation.
-18 + 18 + 5x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 12 + 18
5x = 12 + 18

Combine like terms: 12 + 18 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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