6(x+6)=4(3+2x)+x

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Solution for 6(x+6)=4(3+2x)+x equation: 


Simplifying
6(x + 6) = 4(3 + 2x) + x

Reorder the terms:
6(6 + x) = 4(3 + 2x) + x
(6 * 6 + x * 6) = 4(3 + 2x) + x
(36 + 6x) = 4(3 + 2x) + x
36 + 6x = (3 * 4 + 2x * 4) + x
36 + 6x = (12 + 8x) + x

Combine like terms: 8x + x = 9x
36 + 6x = 12 + 9x

Solving
36 + 6x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
36 + 6x + -9x = 12 + 9x + -9x

Combine like terms: 6x + -9x = -3x
36 + -3x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
36 + -3x = 12 + 0
36 + -3x = 12

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

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

Combine like terms: 12 + -36 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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