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

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


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

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

Reorder the terms:
2 + -2x = 3(2 + x)
2 + -2x = (2 * 3 + x * 3)
2 + -2x = (6 + 3x)

Solving
2 + -2x = 6 + 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 = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
2 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -5x = 6 + 0
2 + -5x = 6

Add '-2' to each side of the equation.
2 + -2 + -5x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 6 + -2
-5x = 6 + -2

Combine like terms: 6 + -2 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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