12(x+3)=4(x+13)+6x

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Solution for 12(x+3)=4(x+13)+6x equation: 


Simplifying
12(x + 3) = 4(x + 13) + 6x

Reorder the terms:
12(3 + x) = 4(x + 13) + 6x
(3 * 12 + x * 12) = 4(x + 13) + 6x
(36 + 12x) = 4(x + 13) + 6x

Reorder the terms:
36 + 12x = 4(13 + x) + 6x
36 + 12x = (13 * 4 + x * 4) + 6x
36 + 12x = (52 + 4x) + 6x

Combine like terms: 4x + 6x = 10x
36 + 12x = 52 + 10x

Solving
36 + 12x = 52 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
36 + 12x + -10x = 52 + 10x + -10x

Combine like terms: 12x + -10x = 2x
36 + 2x = 52 + 10x + -10x

Combine like terms: 10x + -10x = 0
36 + 2x = 52 + 0
36 + 2x = 52

Add '-36' to each side of the equation.
36 + -36 + 2x = 52 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = 52 + -36
2x = 52 + -36

Combine like terms: 52 + -36 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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