Solve 3/2+5/3+x=12

$$\frac{ 3 }{ 2 } + \frac{ 5 }{ 3 } +x = 12$$

Solve for x

$$x = \frac{53}{6} = 8\frac{5}{6} \approx 8.833333333$$

Steps for Solving Linear Equation

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{9}{6}+\frac{10}{6}+x=12$$

Since \frac{9}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{6}+x=12$$

Add 9 and 10 to get 19.

$$\frac{19}{6}+x=12$$

Subtract \frac{19}{6} from both sides.

$$x=12-\frac{19}{6}$$

Convert 12 to fraction \frac{72}{6}.

$$x=\frac{72}{6}-\frac{19}{6}$$

Since \frac{72}{6} and \frac{19}{6} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{72-19}{6}$$

Subtract 19 from 72 to get 53.

$$x=\frac{53}{6}$$