Solve 2x=5/6+1/4

$$2 x = \frac { 5 } { 6 } + \frac { 1 } { 4 }$$

Solve for x

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

Steps for Solving Linear Equation

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$2x=\frac{10}{12}+\frac{3}{12}$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$2x=\frac{10+3}{12}$$

Add 10 and 3 to get 13.

$$2x=\frac{13}{12}$$

Divide both sides by 2.

$$x=\frac{\frac{13}{12}}{2}$$

Express \frac{\frac{13}{12}}{2} as a single fraction.

$$x=\frac{13}{12\times 2}$$

Multiply 12 and 2 to get 24.

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