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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
6 + -3x = 12 + 0
6 + -3x = 12

Add '-6' to each side of the equation.
6 + -6 + -3x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 12 + -6
-3x = 12 + -6

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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