Solve 5div2divx=10div7

$$5 \div 2 \div x=10 \div 7$$

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

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 7x, the least common multiple of x,7.

$$7\times \frac{5}{2}=10x$$

Express 7\times \frac{5}{2} as a single fraction.

$$\frac{7\times 5}{2}=10x$$

Multiply 7 and 5 to get 35.

$$\frac{35}{2}=10x$$

Swap sides so that all variable terms are on the left hand side.

$$10x=\frac{35}{2}$$

Divide both sides by 10.

$$x=\frac{\frac{35}{2}}{10}$$

Express \frac{\frac{35}{2}}{10} as a single fraction.

$$x=\frac{35}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$x=\frac{35}{20}$$

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$x=\frac{7}{4}$$