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

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


Simplifying
3(2 + -3x) = 4(4 + -1x)
(2 * 3 + -3x * 3) = 4(4 + -1x)
(6 + -9x) = 4(4 + -1x)
6 + -9x = (4 * 4 + -1x * 4)
6 + -9x = (16 + -4x)

Solving
6 + -9x = 16 + -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.
6 + -9x + 4x = 16 + -4x + 4x

Combine like terms: -9x + 4x = -5x
6 + -5x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + -5x = 16 + 0
6 + -5x = 16

Add '-6' to each side of the equation.
6 + -6 + -5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 16 + -6
-5x = 16 + -6

Combine like terms: 16 + -6 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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