(3x+2)+(-x+5)=2x+7

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Solution for (3x+2)+(-x+5)=2x+7 equation: 


Simplifying
(3x + 2) + (-1x + 5) = 2x + 7

Reorder the terms:
(2 + 3x) + (-1x + 5) = 2x + 7

Remove parenthesis around (2 + 3x)
2 + 3x + (-1x + 5) = 2x + 7

Reorder the terms:
2 + 3x + (5 + -1x) = 2x + 7

Remove parenthesis around (5 + -1x)
2 + 3x + 5 + -1x = 2x + 7

Reorder the terms:
2 + 5 + 3x + -1x = 2x + 7

Combine like terms: 2 + 5 = 7
7 + 3x + -1x = 2x + 7

Combine like terms: 3x + -1x = 2x
7 + 2x = 2x + 7

Reorder the terms:
7 + 2x = 7 + 2x

Add '-7' to each side of the equation.
7 + -7 + 2x = 7 + -7 + 2x

Combine like terms: 7 + -7 = 0
0 + 2x = 7 + -7 + 2x
2x = 7 + -7 + 2x

Combine like terms: 7 + -7 = 0
2x = 0 + 2x
2x = 2x

Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
0 = 2x + -2x

Combine like terms: 2x + -2x = 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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