6(x+6)+x=2(x+4)-5

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Solution for 6(x+6)+x=2(x+4)-5 equation: 


Simplifying
6(x + 6) + x = 2(x + 4) + -5

Reorder the terms:
6(6 + x) + x = 2(x + 4) + -5
(6 * 6 + x * 6) + x = 2(x + 4) + -5
(36 + 6x) + x = 2(x + 4) + -5

Combine like terms: 6x + x = 7x
36 + 7x = 2(x + 4) + -5

Reorder the terms:
36 + 7x = 2(4 + x) + -5
36 + 7x = (4 * 2 + x * 2) + -5
36 + 7x = (8 + 2x) + -5

Reorder the terms:
36 + 7x = 8 + -5 + 2x

Combine like terms: 8 + -5 = 3
36 + 7x = 3 + 2x

Solving
36 + 7x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
36 + 7x + -2x = 3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
36 + 5x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 5x = 3 + 0
36 + 5x = 3

Add '-36' to each side of the equation.
36 + -36 + 5x = 3 + -36

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

Combine like terms: 3 + -36 = -33
5x = -33

Divide each side by '5'.
x = -6.6

Simplifying
x = -6.6

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