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

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


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

Reorder the terms:
-2(-3 + x) = -3(-1x + 2)
(-3 * -2 + x * -2) = -3(-1x + 2)
(6 + -2x) = -3(-1x + 2)

Reorder the terms:
6 + -2x = -3(2 + -1x)
6 + -2x = (2 * -3 + -1x * -3)
6 + -2x = (-6 + 3x)

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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