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 = 7x
7x = -4x + 4x

Combine like terms: -4x + 4x = 0
7x = 0

Divide each side by '7'.
x = 0

Simplifying
x = 0

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