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

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


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

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

Solving
-9 + 3x = 10 + -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 = 10 + -2x + 2x

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

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

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

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

Combine like terms: 10 + 9 = 19
5x = 19

Divide each side by '5'.
x = 3.8

Simplifying
x = 3.8

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