Solve for x
x = \frac{9}{4} = 2\frac{1}{4} = 2.25
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8=2x-10+6x-0
Use the distributive property to multiply 2 by x-5.
8=8x-10-0
Combine 2x and 6x to get 8x.
8x-10-0=8
Swap sides so that all variable terms are on the left hand side.
8x-10=8+0
Add 0 to both sides.
8x-10=8
Add 8 and 0 to get 8.
8x=8+10
Add 10 to both sides.
8x=18
Add 8 and 10 to get 18.
x=\frac{18}{8}
Divide both sides by 8.
x=\frac{9}{4}
Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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