3(4-3x)=9(5-2x)

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Solution for 3(4-3x)=9(5-2x) equation: 


Simplifying
3(4 + -3x) = 9(5 + -2x)
(4 * 3 + -3x * 3) = 9(5 + -2x)
(12 + -9x) = 9(5 + -2x)
12 + -9x = (5 * 9 + -2x * 9)
12 + -9x = (45 + -18x)

Solving
12 + -9x = 45 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
12 + -9x + 18x = 45 + -18x + 18x

Combine like terms: -9x + 18x = 9x
12 + 9x = 45 + -18x + 18x

Combine like terms: -18x + 18x = 0
12 + 9x = 45 + 0
12 + 9x = 45

Add '-12' to each side of the equation.
12 + -12 + 9x = 45 + -12

Combine like terms: 12 + -12 = 0
0 + 9x = 45 + -12
9x = 45 + -12

Combine like terms: 45 + -12 = 33
9x = 33

Divide each side by '9'.
x = 3.666666667

Simplifying
x = 3.666666667

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