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

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


Simplifying
3(2 + -2x) = 4(3x + 4)
(2 * 3 + -2x * 3) = 4(3x + 4)
(6 + -6x) = 4(3x + 4)

Reorder the terms:
6 + -6x = 4(4 + 3x)
6 + -6x = (4 * 4 + 3x * 4)
6 + -6x = (16 + 12x)

Solving
6 + -6x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + -6x + -12x = 16 + 12x + -12x

Combine like terms: -6x + -12x = -18x
6 + -18x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -18x = 16 + 0
6 + -18x = 16

Add '-6' to each side of the equation.
6 + -6 + -18x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -18x = 16 + -6
-18x = 16 + -6

Combine like terms: 16 + -6 = 10
-18x = 10

Divide each side by '-18'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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