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

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


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

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

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

Solving
2 + 2x = -3 + -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.
2 + 2x + 3x = -3 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + 5x = -3 + 0
2 + 5x = -3

Add '-2' to each side of the equation.
2 + -2 + 5x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -3 + -2
5x = -3 + -2

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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