Solve 57456(x*20-1544)=123

$$57456(x \times 20-1544)=123$$

Solve for x

$$x = \frac{29570729}{383040} = 77\frac{76649}{383040} \approx 77.200107038$$

Steps for Solving Linear Equation

Divide both sides by 57456.

$$x\times 20-1544=\frac{123}{57456}$$

Reduce the fraction \frac{123}{57456} to lowest terms by extracting and canceling out 3.

$$x\times 20-1544=\frac{41}{19152}$$

Add 1544 to both sides.

$$x\times 20=\frac{41}{19152}+1544$$

Convert 1544 to fraction \frac{29570688}{19152}.

$$x\times 20=\frac{41}{19152}+\frac{29570688}{19152}$$

Since \frac{41}{19152} and \frac{29570688}{19152} have the same denominator, add them by adding their numerators.

$$x\times 20=\frac{41+29570688}{19152}$$

Add 41 and 29570688 to get 29570729.

$$x\times 20=\frac{29570729}{19152}$$

Divide both sides by 20.

$$x=\frac{\frac{29570729}{19152}}{20}$$

Express \frac{\frac{29570729}{19152}}{20} as a single fraction.

$$x=\frac{29570729}{19152\times 20}$$

Multiply 19152 and 20 to get 383040.

$$x=\frac{29570729}{383040}$$