Solve for x
x=-5
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5x+17=2\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.
5x+17=2x+2
Use the distributive property to multiply 2 by x+1.
5x+17-2x=2
Subtract 2x from both sides.
3x+17=2
Combine 5x and -2x to get 3x.
3x=2-17
Subtract 17 from both sides.
3x=-15
Subtract 17 from 2 to get -15.
x=\frac{-15}{3}
Divide both sides by 3.
x=-5
Divide -15 by 3 to get -5.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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