6(x+6)+x=4(x+3)-8

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Solution for 6(x+6)+x=4(x+3)-8 equation: 


Simplifying
6(x + 6) + x = 4(x + 3) + -8

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

Combine like terms: 6x + x = 7x
36 + 7x = 4(x + 3) + -8

Reorder the terms:
36 + 7x = 4(3 + x) + -8
36 + 7x = (3 * 4 + x * 4) + -8
36 + 7x = (12 + 4x) + -8

Reorder the terms:
36 + 7x = 12 + -8 + 4x

Combine like terms: 12 + -8 = 4
36 + 7x = 4 + 4x

Solving
36 + 7x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + 7x + -4x = 4 + 4x + -4x

Combine like terms: 7x + -4x = 3x
36 + 3x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 3x = 4 + 0
36 + 3x = 4

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

Combine like terms: 36 + -36 = 0
0 + 3x = 4 + -36
3x = 4 + -36

Combine like terms: 4 + -36 = -32
3x = -32

Divide each side by '3'.
x = -10.66666667

Simplifying
x = -10.66666667

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