Solve 7/2:x=7/10:8

$$\frac { 7 } { 2 } : x = \frac { 7 } { 10 } : 8$$

Solve for x

$$x=40$$

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

$$8\times \frac{7}{2}=x\times \frac{7}{10}$$

Express 8\times \frac{7}{2} as a single fraction.

$$\frac{8\times 7}{2}=x\times \frac{7}{10}$$

Multiply 8 and 7 to get 56.

$$\frac{56}{2}=x\times \frac{7}{10}$$

Divide 56 by 2 to get 28.

$$28=x\times \frac{7}{10}$$

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

$$x\times \frac{7}{10}=28$$

Multiply both sides by \frac{10}{7}, the reciprocal of \frac{7}{10}.

$$x=28\times \frac{10}{7}$$

Express 28\times \frac{10}{7} as a single fraction.

$$x=\frac{28\times 10}{7}$$

Multiply 28 and 10 to get 280.

$$x=\frac{280}{7}$$

Divide 280 by 7 to get 40.

$$x=40$$