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

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


Simplifying
5x + 7 = 6x + -1(x + -7)

Reorder the terms:
7 + 5x = 6x + -1(x + -7)

Reorder the terms:
7 + 5x = 6x + -1(-7 + x)
7 + 5x = 6x + (-7 * -1 + x * -1)
7 + 5x = 6x + (7 + -1x)

Reorder the terms:
7 + 5x = 7 + 6x + -1x

Combine like terms: 6x + -1x = 5x
7 + 5x = 7 + 5x

Add '-7' to each side of the equation.
7 + -7 + 5x = 7 + -7 + 5x

Combine like terms: 7 + -7 = 0
0 + 5x = 7 + -7 + 5x
5x = 7 + -7 + 5x

Combine like terms: 7 + -7 = 0
5x = 0 + 5x
5x = 5x

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

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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