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

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


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

Reorder the terms:
-2(1 + x) = 3(x + -1)
(1 * -2 + x * -2) = 3(x + -1)
(-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 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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