Solve 5x+7/24=3

$$5 x + \frac { 7 } { 24 } = 3$$

Solve for x

$$x=\frac{13}{24}\approx 0.541666667$$

Steps for Solving Linear Equation

Subtract \frac{7}{24} from both sides.

$$5x=3-\frac{7}{24}$$

Convert 3 to fraction \frac{72}{24}.

$$5x=\frac{72}{24}-\frac{7}{24}$$

Since \frac{72}{24} and \frac{7}{24} have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{72-7}{24}$$

Subtract 7 from 72 to get 65.

$$5x=\frac{65}{24}$$

Divide both sides by 5.

$$x=\frac{\frac{65}{24}}{5}$$

Express \frac{\frac{65}{24}}{5} as a single fraction.

$$x=\frac{65}{24\times 5}$$

Multiply 24 and 5 to get 120.

$$x=\frac{65}{120}$$

Reduce the fraction \frac{65}{120} to lowest terms by extracting and canceling out 5.

$$x=\frac{13}{24}$$