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

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


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

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

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

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

Combine like terms: -6 + -1 = -7
4 + 4x = -7 + 2x + 3x

Combine like terms: 2x + 3x = 5x
4 + 4x = -7 + 5x

Solving
4 + 4x = -7 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
4 + 4x + -5x = -7 + 5x + -5x

Combine like terms: 4x + -5x = -1x
4 + -1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -1x = -7 + 0
4 + -1x = -7

Add '-4' to each side of the equation.
4 + -4 + -1x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -7 + -4
-1x = -7 + -4

Combine like terms: -7 + -4 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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