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

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


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

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

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

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

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

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

Solving
3x = 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

Combine like terms: 3x + -4x = -1x
-1x = 4x + -4x

Combine like terms: 4x + -4x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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