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

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


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

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

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

Solving
6 + 4x = -12 + 6x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 9

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