Solve 7/10+3/8=86/x

$$\frac { 7 } { 10 } + \frac { 3 } { 8 } = \frac { 86 } { x }$$

Solve for x

$$x=80$$

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 40x, the least common multiple of 10,8,x.

$$40x\times \frac{7}{10}+40x\times \frac{3}{8}=40\times 86$$

Express 40\times \frac{7}{10} as a single fraction.

$$\frac{40\times 7}{10}x+40x\times \frac{3}{8}=40\times 86$$

Multiply 40 and 7 to get 280.

$$\frac{280}{10}x+40x\times \frac{3}{8}=40\times 86$$

Divide 280 by 10 to get 28.

$$28x+40x\times \frac{3}{8}=40\times 86$$

Express 40\times \frac{3}{8} as a single fraction.

$$28x+\frac{40\times 3}{8}x=40\times 86$$

Multiply 40 and 3 to get 120.

$$28x+\frac{120}{8}x=40\times 86$$

Divide 120 by 8 to get 15.

$$28x+15x=40\times 86$$

Combine 28x and 15x to get 43x.

$$43x=40\times 86$$

Multiply 40 and 86 to get 3440.

$$43x=3440$$

Divide both sides by 43.

$$x=\frac{3440}{43}$$

Divide 3440 by 43 to get 80.

$$x=80$$