5x+42=7(x+6)-2x

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Solution for 5x+42=7(x+6)-2x equation: 


Simplifying
5x + 42 = 7(x + 6) + -2x

Reorder the terms:
42 + 5x = 7(x + 6) + -2x

Reorder the terms:
42 + 5x = 7(6 + x) + -2x
42 + 5x = (6 * 7 + x * 7) + -2x
42 + 5x = (42 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
42 + 5x = 42 + 5x

Add '-42' to each side of the equation.
42 + -42 + 5x = 42 + -42 + 5x

Combine like terms: 42 + -42 = 0
0 + 5x = 42 + -42 + 5x
5x = 42 + -42 + 5x

Combine like terms: 42 + -42 = 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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