Solve 301=623.75(x-1.25)

$$301 = 623.75 ( x - 1.25 )$$

Solve for x

$$x = \frac{17291}{9980} = 1\frac{7311}{9980} \approx 1.73256513$$

Steps for Solving Linear Equation

Divide both sides by 623.75.

$$\frac{301}{623.75}=x-1.25$$

Expand \frac{301}{623.75} by multiplying both numerator and the denominator by 100.

$$\frac{30100}{62375}=x-1.25$$

Reduce the fraction \frac{30100}{62375} to lowest terms by extracting and canceling out 25.

$$\frac{1204}{2495}=x-1.25$$

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

$$x-1.25=\frac{1204}{2495}$$

Add 1.25 to both sides.

$$x=\frac{1204}{2495}+1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$x=\frac{1204}{2495}+\frac{5}{4}$$

Least common multiple of 2495 and 4 is 9980. Convert \frac{1204}{2495} and \frac{5}{4} to fractions with denominator 9980.

$$x=\frac{4816}{9980}+\frac{12475}{9980}$$

Since \frac{4816}{9980} and \frac{12475}{9980} have the same denominator, add them by adding their numerators.

$$x=\frac{4816+12475}{9980}$$

Add 4816 and 12475 to get 17291.

$$x=\frac{17291}{9980}$$