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

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


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

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

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

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

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

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

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

Solving
4 + -1x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + -1x + 3x = 1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
4 + 2x = 1 + 0
4 + 2x = 1

Add '-4' to each side of the equation.
4 + -4 + 2x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 1 + -4
2x = 1 + -4

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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