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

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


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

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

Combine like terms: 7x + x = 8x
-35 + 8x = 8(x + -6) + 13

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

Reorder the terms:
-35 + 8x = -48 + 13 + 8x

Combine like terms: -48 + 13 = -35
-35 + 8x = -35 + 8x

Add '35' to each side of the equation.
-35 + 35 + 8x = -35 + 35 + 8x

Combine like terms: -35 + 35 = 0
0 + 8x = -35 + 35 + 8x
8x = -35 + 35 + 8x

Combine like terms: -35 + 35 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 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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