6(x+2)+5x=-2(x-6)+13x

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Solution for 6(x+2)+5x=-2(x-6)+13x equation:


Simplifying
6(x + 2) + 5x = -2(x + -6) + 13x

Reorder the terms:
6(2 + x) + 5x = -2(x + -6) + 13x
(2 * 6 + x * 6) + 5x = -2(x + -6) + 13x
(12 + 6x) + 5x = -2(x + -6) + 13x

Combine like terms: 6x + 5x = 11x
12 + 11x = -2(x + -6) + 13x

Reorder the terms:
12 + 11x = -2(-6 + x) + 13x
12 + 11x = (-6 * -2 + x * -2) + 13x
12 + 11x = (12 + -2x) + 13x

Combine like terms: -2x + 13x = 11x
12 + 11x = 12 + 11x

Add '-12' to each side of the equation.
12 + -12 + 11x = 12 + -12 + 11x

Combine like terms: 12 + -12 = 0
0 + 11x = 12 + -12 + 11x
11x = 12 + -12 + 11x

Combine like terms: 12 + -12 = 0
11x = 0 + 11x
11x = 11x

Add '-11x' to each side of the equation.
11x + -11x = 11x + -11x

Combine like terms: 11x + -11x = 0
0 = 11x + -11x

Combine like terms: 11x + -11x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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