Solve for x
x = -\frac{31}{17} = -1\frac{14}{17} \approx -1.823529412
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5\left(4x+5\right)=3\left(x-2\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
20x+25=3\left(x-2\right)
Use the distributive property to multiply 5 by 4x+5.
20x+25=3x-6
Use the distributive property to multiply 3 by x-2.
20x+25-3x=-6
Subtract 3x from both sides.
17x+25=-6
Combine 20x and -3x to get 17x.
17x=-6-25
Subtract 25 from both sides.
17x=-31
Subtract 25 from -6 to get -31.
x=\frac{-31}{17}
Divide both sides by 17.
x=-\frac{31}{17}
Fraction \frac{-31}{17} can be rewritten as -\frac{31}{17} by extracting the negative sign.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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