-5x+6=-7(5x-6)-6x

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Solution for -5x+6=-7(5x-6)-6x equation:


Simplifying
-5x + 6 = -7(5x + -6) + -6x

Reorder the terms:
6 + -5x = -7(5x + -6) + -6x

Reorder the terms:
6 + -5x = -7(-6 + 5x) + -6x
6 + -5x = (-6 * -7 + 5x * -7) + -6x
6 + -5x = (42 + -35x) + -6x

Combine like terms: -35x + -6x = -41x
6 + -5x = 42 + -41x

Solving
6 + -5x = 42 + -41x

Solving for variable 'x'.

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

Add '41x' to each side of the equation.
6 + -5x + 41x = 42 + -41x + 41x

Combine like terms: -5x + 41x = 36x
6 + 36x = 42 + -41x + 41x

Combine like terms: -41x + 41x = 0
6 + 36x = 42 + 0
6 + 36x = 42

Add '-6' to each side of the equation.
6 + -6 + 36x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 36x = 42 + -6
36x = 42 + -6

Combine like terms: 42 + -6 = 36
36x = 36

Divide each side by '36'.
x = 1

Simplifying
x = 1

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