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

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


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

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

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + -3x

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

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

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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