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

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


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

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

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

Solving
12 + 6x = -6 + 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.
12 + 6x + -4x = -6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -6 + 0
12 + 2x = -6

Add '-12' to each side of the equation.
12 + -12 + 2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -6 + -12
2x = -6 + -12

Combine like terms: -6 + -12 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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