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

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


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

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

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

Combine like terms: -4 + 1 = -3
-3 + 4x = x + -3(1 + -1x)
-3 + 4x = x + (1 * -3 + -1x * -3)
-3 + 4x = x + (-3 + 3x)

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

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

Add '3' to each side of the equation.
-3 + 3 + 4x = -3 + 3 + 4x

Combine like terms: -3 + 3 = 0
0 + 4x = -3 + 3 + 4x
4x = -3 + 3 + 4x

Combine like terms: -3 + 3 = 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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