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

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


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

Reorder the terms:
3(4 + 3x) = 2(2x + -4)
(4 * 3 + 3x * 3) = 2(2x + -4)
(12 + 9x) = 2(2x + -4)

Reorder the terms:
12 + 9x = 2(-4 + 2x)
12 + 9x = (-4 * 2 + 2x * 2)
12 + 9x = (-8 + 4x)

Solving
12 + 9x = -8 + 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 + 9x + -4x = -8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
12 + 5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 5x = -8 + 0
12 + 5x = -8

Add '-12' to each side of the equation.
12 + -12 + 5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -8 + -12
5x = -8 + -12

Combine like terms: -8 + -12 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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