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

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


Simplifying
3(3 + -2x) = 5 + -4(2 + -3x)
(3 * 3 + -2x * 3) = 5 + -4(2 + -3x)
(9 + -6x) = 5 + -4(2 + -3x)
9 + -6x = 5 + (2 * -4 + -3x * -4)
9 + -6x = 5 + (-8 + 12x)

Combine like terms: 5 + -8 = -3
9 + -6x = -3 + 12x

Solving
9 + -6x = -3 + 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.
9 + -6x + -12x = -3 + 12x + -12x

Combine like terms: -6x + -12x = -18x
9 + -18x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -18x = -3 + 0
9 + -18x = -3

Add '-9' to each side of the equation.
9 + -9 + -18x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -18x = -3 + -9
-18x = -3 + -9

Combine like terms: -3 + -9 = -12
-18x = -12

Divide each side by '-18'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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