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

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


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

Reorder the terms:
2(-3 + 2x) = -3(2 + -1x)
(-3 * 2 + 2x * 2) = -3(2 + -1x)
(-6 + 4x) = -3(2 + -1x)
-6 + 4x = (2 * -3 + -1x * -3)
-6 + 4x = (-6 + 3x)

Add '6' to each side of the equation.
-6 + 6 + 4x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 4x = -6 + 6 + 3x
4x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
4x = 0 + 3x
4x = 3x

Solving
4x = 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.
4x + -3x = 3x + -3x

Combine like terms: 4x + -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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