Solve 125*36/x=175*50/100

$$\frac { 125 \cdot 36 } { x } = \frac { 175 \cdot 50 } { 100 }$$

Solve for x

$$x = \frac{360}{7} = 51\frac{3}{7} \approx 51.428571429$$

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 100x, the least common multiple of x,100.

$$100\times 125\times 36=x\times 175\times 50$$

Multiply 100 and 125 to get 12500.

$$12500\times 36=x\times 175\times 50$$

Multiply 12500 and 36 to get 450000.

$$450000=x\times 175\times 50$$

Multiply 175 and 50 to get 8750.

$$450000=x\times 8750$$

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

$$x\times 8750=450000$$

Divide both sides by 8750.

$$x=\frac{450000}{8750}$$

Reduce the fraction \frac{450000}{8750} to lowest terms by extracting and canceling out 1250.

$$x=\frac{360}{7}$$