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 = 5x
5x = -3x + 3x

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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