-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 = 1x
2 + 1x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 1x = -6 + 0
2 + 1x = -6

Add '-2' to each side of the equation.
2 + -2 + 1x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -6 + -2
1x = -6 + -2

Combine like terms: -6 + -2 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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