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

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


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

Reorder the terms:
9 + -3x = 2(-3 + x)
9 + -3x = (-3 * 2 + x * 2)
9 + -3x = (-6 + 2x)

Solving
9 + -3x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -3x + -2x = -6 + 2x + -2x

Combine like terms: -3x + -2x = -5x
9 + -5x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -5x = -6 + 0
9 + -5x = -6

Add '-9' to each side of the equation.
9 + -9 + -5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -6 + -9
-5x = -6 + -9

Combine like terms: -6 + -9 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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