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

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Solution for 3x+7=5x+2(3-x)+1 equation: 


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

Reorder the terms:
7 + 3x = 5x + 2(3 + -1x) + 1
7 + 3x = 5x + (3 * 2 + -1x * 2) + 1
7 + 3x = 5x + (6 + -2x) + 1

Reorder the terms:
7 + 3x = 6 + 1 + 5x + -2x

Combine like terms: 6 + 1 = 7
7 + 3x = 7 + 5x + -2x

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 7 + -7 + 3x

Combine like terms: 7 + -7 = 0
0 + 3x = 7 + -7 + 3x
3x = 7 + -7 + 3x

Combine like terms: 7 + -7 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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