2(x+6)+2x=3(x+12)

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Solution for 2(x+6)+2x=3(x+12) equation: 


Simplifying
2(x + 6) + 2x = 3(x + 12)

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

Combine like terms: 2x + 2x = 4x
12 + 4x = 3(x + 12)

Reorder the terms:
12 + 4x = 3(12 + x)
12 + 4x = (12 * 3 + x * 3)
12 + 4x = (36 + 3x)

Solving
12 + 4x = 36 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
12 + 4x + -3x = 36 + 3x + -3x

Combine like terms: 4x + -3x = 1x
12 + 1x = 36 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 1x = 36 + 0
12 + 1x = 36

Add '-12' to each side of the equation.
12 + -12 + 1x = 36 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 36 + -12
1x = 36 + -12

Combine like terms: 36 + -12 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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