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

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


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

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

Reorder the terms:
6 + -2x = 3(-3 + x)
6 + -2x = (-3 * 3 + x * 3)
6 + -2x = (-9 + 3x)

Solving
6 + -2x = -9 + 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 = -9 + 3x + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x = -9 + 0
6 + -5x = -9

Add '-6' to each side of the equation.
6 + -6 + -5x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -9 + -6
-5x = -9 + -6

Combine like terms: -9 + -6 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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