2(x+18)=5(x+6)+12

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Solution for 2(x+18)=5(x+6)+12 equation: 


Simplifying
2(x + 18) = 5(x + 6) + 12

Reorder the terms:
2(18 + x) = 5(x + 6) + 12
(18 * 2 + x * 2) = 5(x + 6) + 12
(36 + 2x) = 5(x + 6) + 12

Reorder the terms:
36 + 2x = 5(6 + x) + 12
36 + 2x = (6 * 5 + x * 5) + 12
36 + 2x = (30 + 5x) + 12

Reorder the terms:
36 + 2x = 30 + 12 + 5x

Combine like terms: 30 + 12 = 42
36 + 2x = 42 + 5x

Solving
36 + 2x = 42 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 2x + -5x = 42 + 5x + -5x

Combine like terms: 2x + -5x = -3x
36 + -3x = 42 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + -3x = 42 + 0
36 + -3x = 42

Add '-36' to each side of the equation.
36 + -36 + -3x = 42 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 42 + -36
-3x = 42 + -36

Combine like terms: 42 + -36 = 6
-3x = 6

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

Simplifying
x = -2

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