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

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


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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
x = -1

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