Solve 4/x+3/4=10/x

$$\frac { 4 } { x } + \frac { 3 } { 4 } = \frac { 10 } { x }$$

Solve for x

$$x=8$$

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.

$$4\times 4+4x\times \frac{3}{4}=4\times 10$$

Multiply 4 and 4 to get 16.

$$16+4x\times \frac{3}{4}=4\times 10$$

Cancel out 4 and 4.

$$16+3x=4\times 10$$

Multiply 4 and 10 to get 40.

$$16+3x=40$$

Subtract 16 from both sides.

$$3x=40-16$$

Subtract 16 from 40 to get 24.

$$3x=24$$

Divide both sides by 3.

$$x=\frac{24}{3}$$

Divide 24 by 3 to get 8.

$$x=8$$