Solve 15/x+14/4=10

$$\frac { 15 } { x } + \frac { 14 } { 4 } = 10$$

Solve for x

$$x = \frac{30}{13} = 2\frac{4}{13} \approx 2.307692308$$

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 4x, the least common multiple of x,4.

$$4\times 15+x\times 14=40x$$

Multiply 4 and 15 to get 60.

$$60+x\times 14=40x$$

Subtract 40x from both sides.

$$60+x\times 14-40x=0$$

Combine x\times 14 and -40x to get -26x.

$$60-26x=0$$

Subtract 60 from both sides. Anything subtracted from zero gives its negation.

$$-26x=-60$$

Divide both sides by -26.

$$x=\frac{-60}{-26}$$

Reduce the fraction \frac{-60}{-26} to lowest terms by extracting and canceling out -2.

$$x=\frac{30}{13}$$