Solve 17x-23+9/12=62.5

$$17 x - 23 + \frac { 9 } { 12 } = 62.5$$

Solve for x

$$x = \frac{339}{68} = 4\frac{67}{68} \approx 4.985294118$$

Steps for Solving Linear Equation

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$17x-23+\frac{3}{4}=62.5$$

Convert -23 to fraction -\frac{92}{4}.

$$17x-\frac{92}{4}+\frac{3}{4}=62.5$$

Since -\frac{92}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$17x+\frac{-92+3}{4}=62.5$$

Add -92 and 3 to get -89.

$$17x-\frac{89}{4}=62.5$$

Add \frac{89}{4} to both sides.

$$17x=62.5+\frac{89}{4}$$

Convert decimal number 62.5 to fraction \frac{625}{10}. Reduce the fraction \frac{625}{10} to lowest terms by extracting and canceling out 5.

$$17x=\frac{125}{2}+\frac{89}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{125}{2} and \frac{89}{4} to fractions with denominator 4.

$$17x=\frac{250}{4}+\frac{89}{4}$$

Since \frac{250}{4} and \frac{89}{4} have the same denominator, add them by adding their numerators.

$$17x=\frac{250+89}{4}$$

Add 250 and 89 to get 339.

$$17x=\frac{339}{4}$$

Divide both sides by 17.

$$x=\frac{\frac{339}{4}}{17}$$

Express \frac{\frac{339}{4}}{17} as a single fraction.

$$x=\frac{339}{4\times 17}$$

Multiply 4 and 17 to get 68.

$$x=\frac{339}{68}$$