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

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


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

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

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

Remove parenthesis around (1 + x)
-2 + 4x = 1 + x + 3(x + -1)

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + 4x = -2 + 2 + 4x

Combine like terms: -2 + 2 = 0
0 + 4x = -2 + 2 + 4x
4x = -2 + 2 + 4x

Combine like terms: -2 + 2 = 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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