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

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


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

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

Reorder the terms:
4 + 4x = 2(-3 + x) + -1(1 + -2x)
4 + 4x = (-3 * 2 + x * 2) + -1(1 + -2x)
4 + 4x = (-6 + 2x) + -1(1 + -2x)
4 + 4x = -6 + 2x + (1 * -1 + -2x * -1)
4 + 4x = -6 + 2x + (-1 + 2x)

Reorder the terms:
4 + 4x = -6 + -1 + 2x + 2x

Combine like terms: -6 + -1 = -7
4 + 4x = -7 + 2x + 2x

Combine like terms: 2x + 2x = 4x
4 + 4x = -7 + 4x

Add '-4x' to each side of the equation.
4 + 4x + -4x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + 0 = -7 + 4x + -4x
4 = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 = -7 + 0
4 = -7

Solving
4 = -7

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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