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

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


Simplifying
-3(x + -3) = 5(2 + -1x)

Reorder the terms:
-3(-3 + x) = 5(2 + -1x)
(-3 * -3 + x * -3) = 5(2 + -1x)
(9 + -3x) = 5(2 + -1x)
9 + -3x = (2 * 5 + -1x * 5)
9 + -3x = (10 + -5x)

Solving
9 + -3x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
9 + -3x + 5x = 10 + -5x + 5x

Combine like terms: -3x + 5x = 2x
9 + 2x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 2x = 10 + 0
9 + 2x = 10

Add '-9' to each side of the equation.
9 + -9 + 2x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 10 + -9
2x = 10 + -9

Combine like terms: 10 + -9 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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