7(x-6)+x=8(x-7)+14

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Solution for 7(x-6)+x=8(x-7)+14 equation: 


Simplifying
7(x + -6) + x = 8(x + -7) + 14

Reorder the terms:
7(-6 + x) + x = 8(x + -7) + 14
(-6 * 7 + x * 7) + x = 8(x + -7) + 14
(-42 + 7x) + x = 8(x + -7) + 14

Combine like terms: 7x + x = 8x
-42 + 8x = 8(x + -7) + 14

Reorder the terms:
-42 + 8x = 8(-7 + x) + 14
-42 + 8x = (-7 * 8 + x * 8) + 14
-42 + 8x = (-56 + 8x) + 14

Reorder the terms:
-42 + 8x = -56 + 14 + 8x

Combine like terms: -56 + 14 = -42
-42 + 8x = -42 + 8x

Add '42' to each side of the equation.
-42 + 42 + 8x = -42 + 42 + 8x

Combine like terms: -42 + 42 = 0
0 + 8x = -42 + 42 + 8x
8x = -42 + 42 + 8x

Combine like terms: -42 + 42 = 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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