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

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


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

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

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

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

Combine like terms: 2 + -1 = 1
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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