Solve for x
x=3
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3\left(3-x\right)-2\left(x-3\right)=0
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9-3x-2\left(x-3\right)=0
Use the distributive property to multiply 3 by 3-x.
9-3x-2x+6=0
Use the distributive property to multiply -2 by x-3.
9-5x+6=0
Combine -3x and -2x to get -5x.
15-5x=0
Add 9 and 6 to get 15.
-5x=-15
Subtract 15 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-15}{-5}
Divide both sides by -5.
x=3
Divide -15 by -5 to get 3.
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Limits
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