6(x-6)+2=(x+2)-10

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Solution for 6(x-6)+2=(x+2)-10 equation: 


Simplifying
6(x + -6) + 2 = (x + 2) + -10

Reorder the terms:
6(-6 + x) + 2 = (x + 2) + -10
(-6 * 6 + x * 6) + 2 = (x + 2) + -10
(-36 + 6x) + 2 = (x + 2) + -10

Reorder the terms:
-36 + 2 + 6x = (x + 2) + -10

Combine like terms: -36 + 2 = -34
-34 + 6x = (x + 2) + -10

Reorder the terms:
-34 + 6x = (2 + x) + -10

Remove parenthesis around (2 + x)
-34 + 6x = 2 + x + -10

Reorder the terms:
-34 + 6x = 2 + -10 + x

Combine like terms: 2 + -10 = -8
-34 + 6x = -8 + x

Solving
-34 + 6x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-34 + 6x + -1x = -8 + x + -1x

Combine like terms: 6x + -1x = 5x
-34 + 5x = -8 + x + -1x

Combine like terms: x + -1x = 0
-34 + 5x = -8 + 0
-34 + 5x = -8

Add '34' to each side of the equation.
-34 + 34 + 5x = -8 + 34

Combine like terms: -34 + 34 = 0
0 + 5x = -8 + 34
5x = -8 + 34

Combine like terms: -8 + 34 = 26
5x = 26

Divide each side by '5'.
x = 5.2

Simplifying
x = 5.2

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