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

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


Simplifying
3(x + -5) = 2(9 + -1x)

Reorder the terms:
3(-5 + x) = 2(9 + -1x)
(-5 * 3 + x * 3) = 2(9 + -1x)
(-15 + 3x) = 2(9 + -1x)
-15 + 3x = (9 * 2 + -1x * 2)
-15 + 3x = (18 + -2x)

Solving
-15 + 3x = 18 + -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.
-15 + 3x + 2x = 18 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-15 + 5x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 5x = 18 + 0
-15 + 5x = 18

Add '15' to each side of the equation.
-15 + 15 + 5x = 18 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 18 + 15
5x = 18 + 15

Combine like terms: 18 + 15 = 33
5x = 33

Divide each side by '5'.
x = 6.6

Simplifying
x = 6.6

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