2(x+36)=3(x+12)

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Solution for 2(x+36)=3(x+12) equation: 


Simplifying
2(x + 36) = 3(x + 12)

Reorder the terms:
2(36 + x) = 3(x + 12)
(36 * 2 + x * 2) = 3(x + 12)
(72 + 2x) = 3(x + 12)

Reorder the terms:
72 + 2x = 3(12 + x)
72 + 2x = (12 * 3 + x * 3)
72 + 2x = (36 + 3x)

Solving
72 + 2x = 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.
72 + 2x + -3x = 36 + 3x + -3x

Combine like terms: 2x + -3x = -1x
72 + -1x = 36 + 3x + -3x

Combine like terms: 3x + -3x = 0
72 + -1x = 36 + 0
72 + -1x = 36

Add '-72' to each side of the equation.
72 + -72 + -1x = 36 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = 36 + -72
-1x = 36 + -72

Combine like terms: 36 + -72 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36

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