(6x-6)+10=-6+7x

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Solution for (6x-6)+10=-6+7x equation:


Simplifying
(6x + -6) + 10 = -6 + 7x

Reorder the terms:
(-6 + 6x) + 10 = -6 + 7x

Remove parenthesis around (-6 + 6x)
-6 + 6x + 10 = -6 + 7x

Reorder the terms:
-6 + 10 + 6x = -6 + 7x

Combine like terms: -6 + 10 = 4
4 + 6x = -6 + 7x

Solving
4 + 6x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 6x + -7x = -6 + 7x + -7x

Combine like terms: 6x + -7x = -1x
4 + -1x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -1x = -6 + 0
4 + -1x = -6

Add '-4' to each side of the equation.
4 + -4 + -1x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -6 + -4
-1x = -6 + -4

Combine like terms: -6 + -4 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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