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

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


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

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 1 + -1 + 4x

Combine like terms: 1 + -1 = 0
0 + 4x = 1 + -1 + 4x
4x = 1 + -1 + 4x

Combine like terms: 1 + -1 = 0
4x = 0 + 4x
4x = 4x

Add '-4x' to each side of the equation.
4x + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
0 = 4x + -4x

Combine like terms: 4x + -4x = 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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