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

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


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

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

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

Solving
4 + -1x = -2 + -2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '1'.
x = -6

Simplifying
x = -6

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