2x+1=3(x-1)-x+4

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Solution for 2x+1=3(x-1)-x+4 equation: 


Simplifying
2x + 1 = 3(x + -1) + -1x + 4

Reorder the terms:
1 + 2x = 3(x + -1) + -1x + 4

Reorder the terms:
1 + 2x = 3(-1 + x) + -1x + 4
1 + 2x = (-1 * 3 + x * 3) + -1x + 4
1 + 2x = (-3 + 3x) + -1x + 4

Reorder the terms:
1 + 2x = -3 + 4 + 3x + -1x

Combine like terms: -3 + 4 = 1
1 + 2x = 1 + 3x + -1x

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 1 + -1 + 2x

Combine like terms: 1 + -1 = 0
0 + 2x = 1 + -1 + 2x
2x = 1 + -1 + 2x

Combine like terms: 1 + -1 = 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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