Solve for x
x = \frac{18}{5} = 3\frac{3}{5} = 3.6
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x+3-5\left(x-3\right)=x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of 5x,x,5.
x+3-5x+15=x
Use the distributive property to multiply -5 by x-3.
-4x+3+15=x
Combine x and -5x to get -4x.
-4x+18=x
Add 3 and 15 to get 18.
-4x+18-x=0
Subtract x from both sides.
-5x+18=0
Combine -4x and -x to get -5x.
-5x=-18
Subtract 18 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-18}{-5}
Divide both sides by -5.
x=\frac{18}{5}
Fraction \frac{-18}{-5} can be simplified to \frac{18}{5} by removing the negative sign from both the numerator and the denominator.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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