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

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


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

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

Combine like terms: 6x + x = 7x
-42 + 7x = 7(x + -8) + 14

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

Reorder the terms:
-42 + 7x = -56 + 14 + 7x

Combine like terms: -56 + 14 = -42
-42 + 7x = -42 + 7x

Add '42' to each side of the equation.
-42 + 42 + 7x = -42 + 42 + 7x

Combine like terms: -42 + 42 = 0
0 + 7x = -42 + 42 + 7x
7x = -42 + 42 + 7x

Combine like terms: -42 + 42 = 0
7x = 0 + 7x
7x = 7x

Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 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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