3(4x+2)=-2(2x-3)

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Solution for 3(4x+2)=-2(2x-3) equation:


Simplifying
3(4x + 2) = -2(2x + -3)

Reorder the terms:
3(2 + 4x) = -2(2x + -3)
(2 * 3 + 4x * 3) = -2(2x + -3)
(6 + 12x) = -2(2x + -3)

Reorder the terms:
6 + 12x = -2(-3 + 2x)
6 + 12x = (-3 * -2 + 2x * -2)
6 + 12x = (6 + -4x)

Add '-6' to each side of the equation.
6 + -6 + 12x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0
0 + 12x = 6 + -6 + -4x
12x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0
12x = 0 + -4x
12x = -4x

Solving
12x = -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.
12x + 4x = -4x + 4x

Combine like terms: 12x + 4x = 16x
16x = -4x + 4x

Combine like terms: -4x + 4x = 0
16x = 0

Divide each side by '16'.
x = 0

Simplifying
x = 0

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