5*(x-7)+x=6*(x-8)+13

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Solution for 5*(x-7)+x=6*(x-8)+13 equation:


Simplifying
5(x + -7) + x = 6(x + -8) + 13

Reorder the terms:
5(-7 + x) + x = 6(x + -8) + 13
(-7 * 5 + x * 5) + x = 6(x + -8) + 13
(-35 + 5x) + x = 6(x + -8) + 13

Combine like terms: 5x + x = 6x
-35 + 6x = 6(x + -8) + 13

Reorder the terms:
-35 + 6x = 6(-8 + x) + 13
-35 + 6x = (-8 * 6 + x * 6) + 13
-35 + 6x = (-48 + 6x) + 13

Reorder the terms:
-35 + 6x = -48 + 13 + 6x

Combine like terms: -48 + 13 = -35
-35 + 6x = -35 + 6x

Add '35' to each side of the equation.
-35 + 35 + 6x = -35 + 35 + 6x

Combine like terms: -35 + 35 = 0
0 + 6x = -35 + 35 + 6x
6x = -35 + 35 + 6x

Combine like terms: -35 + 35 = 0
6x = 0 + 6x
6x = 6x

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

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

Combine like terms: 6x + -6x = 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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