Solve 30*100/300=20*x/293

$$\frac { 30 \times 100 } { 300 } = \frac { 20 \times x } { 293 }$$

Solve for x

$$x = \frac{293}{2} = 146\frac{1}{2} = 146.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 87900, the least common multiple of 300,293.

$$293\times 30\times 100=300\times 20x$$

Multiply 293 and 30 to get 8790.

$$8790\times 100=300\times 20x$$

Multiply 8790 and 100 to get 879000.

$$879000=300\times 20x$$

Multiply 300 and 20 to get 6000.

$$879000=6000x$$

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

$$6000x=879000$$

Divide both sides by 6000.

$$x=\frac{879000}{6000}$$

Reduce the fraction \frac{879000}{6000} to lowest terms by extracting and canceling out 3000.

$$x=\frac{293}{2}$$