Solve 57456(x*20-1544)=126

$$57456(x \times 20-1544)=126$$

Solve for x

$$x = \frac{140813}{1824} = 77\frac{365}{1824} \approx 77.200109649$$

Steps for Solving Linear Equation

Divide both sides by 57456.

$$x\times 20-1544=\frac{126}{57456}$$

Reduce the fraction \frac{126}{57456} to lowest terms by extracting and canceling out 126.

$$x\times 20-1544=\frac{1}{456}$$

Add 1544 to both sides.

$$x\times 20=\frac{1}{456}+1544$$

Convert 1544 to fraction \frac{704064}{456}.

$$x\times 20=\frac{1}{456}+\frac{704064}{456}$$

Since \frac{1}{456} and \frac{704064}{456} have the same denominator, add them by adding their numerators.

$$x\times 20=\frac{1+704064}{456}$$

Add 1 and 704064 to get 704065.

$$x\times 20=\frac{704065}{456}$$

Divide both sides by 20.

$$x=\frac{\frac{704065}{456}}{20}$$

Express \frac{\frac{704065}{456}}{20} as a single fraction.

$$x=\frac{704065}{456\times 20}$$

Multiply 456 and 20 to get 9120.

$$x=\frac{704065}{9120}$$

Reduce the fraction \frac{704065}{9120} to lowest terms by extracting and canceling out 5.

$$x=\frac{140813}{1824}$$