Solve for x
x=7
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\frac{2}{15\left(\frac{1}{5}x-\frac{1}{3}\right)}=\frac{3}{24}
Express \frac{\frac{2}{15}}{\frac{1}{5}x-\frac{1}{3}} as a single fraction.
\frac{2}{15\left(\frac{1}{5}x-\frac{1}{3}\right)}=\frac{1}{8}
Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.
\frac{2}{3x-5}=\frac{1}{8}
Use the distributive property to multiply 15 by \frac{1}{5}x-\frac{1}{3}.
8\times 2=3x-5
Variable x cannot be equal to \frac{5}{3} since division by zero is not defined. Multiply both sides of the equation by 8\left(3x-5\right), the least common multiple of 3x-5,8.
16=3x-5
Multiply 8 and 2 to get 16.
3x-5=16
Swap sides so that all variable terms are on the left hand side.
3x=16+5
Add 5 to both sides.
3x=21
Add 16 and 5 to get 21.
x=\frac{21}{3}
Divide both sides by 3.
x=7
Divide 21 by 3 to get 7.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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