Solve 1/15+25/8x=10

$$\frac { 1 } { 15 } + 2 \frac { 5 } { 8 x } = 10$$

Solve for x

$$x=\frac{75}{596}\approx 0.125838926$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 120x, the least common multiple of 15,8x.

$$120x\times \frac{1}{15}+2\times 15\times 5=1200x$$

Multiply 120 and \frac{1}{15} to get 8.

$$8x+2\times 15\times 5=1200x$$

Multiply 2 and 15 to get 30.

$$8x+30\times 5=1200x$$

Multiply 30 and 5 to get 150.

$$8x+150=1200x$$

Subtract 1200x from both sides.

$$8x+150-1200x=0$$

Combine 8x and -1200x to get -1192x.

$$-1192x+150=0$$

Subtract 150 from both sides. Anything subtracted from zero gives its negation.

$$-1192x=-150$$

Divide both sides by -1192.

$$x=\frac{-150}{-1192}$$

Reduce the fraction \frac{-150}{-1192} to lowest terms by extracting and canceling out -2.

$$x=\frac{75}{596}$$