-2(x+6)+6x=5(x-5)+30

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Solution for -2(x+6)+6x=5(x-5)+30 equation: 


Simplifying
-2(x + 6) + 6x = 5(x + -5) + 30

Reorder the terms:
-2(6 + x) + 6x = 5(x + -5) + 30
(6 * -2 + x * -2) + 6x = 5(x + -5) + 30
(-12 + -2x) + 6x = 5(x + -5) + 30

Combine like terms: -2x + 6x = 4x
-12 + 4x = 5(x + -5) + 30

Reorder the terms:
-12 + 4x = 5(-5 + x) + 30
-12 + 4x = (-5 * 5 + x * 5) + 30
-12 + 4x = (-25 + 5x) + 30

Reorder the terms:
-12 + 4x = -25 + 30 + 5x

Combine like terms: -25 + 30 = 5
-12 + 4x = 5 + 5x

Solving
-12 + 4x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 4x + -5x = 5 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-12 + -1x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -1x = 5 + 0
-12 + -1x = 5

Add '12' to each side of the equation.
-12 + 12 + -1x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 5 + 12
-1x = 5 + 12

Combine like terms: 5 + 12 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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