Solve for x
x = \frac{17}{4} = 4\frac{1}{4} = 4.25
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2x+5=6\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-2\right).
2x+5=6x-12
Use the distributive property to multiply 6 by x-2.
2x+5-6x=-12
Subtract 6x from both sides.
-4x+5=-12
Combine 2x and -6x to get -4x.
-4x=-12-5
Subtract 5 from both sides.
-4x=-17
Subtract 5 from -12 to get -17.
x=\frac{-17}{-4}
Divide both sides by -4.
x=\frac{17}{4}
Fraction \frac{-17}{-4} can be simplified to \frac{17}{4} 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 ) }
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Limits
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