Solve 1/6+2x=10/5

$$\frac { 1 } { 6 } + 2 x = \frac { 10 } { 5 }$$

Solve for x

$$x=\frac{11}{12}\approx 0.916666667$$

Steps for Solving Linear Equation

Divide 10 by 5 to get 2.

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

Subtract \frac{1}{6} from both sides.

$$2x=2-\frac{1}{6}$$

Convert 2 to fraction \frac{12}{6}.

$$2x=\frac{12}{6}-\frac{1}{6}$$

Since \frac{12}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{12-1}{6}$$

Subtract 1 from 12 to get 11.

$$2x=\frac{11}{6}$$

Divide both sides by 2.

$$x=\frac{\frac{11}{6}}{2}$$

Express \frac{\frac{11}{6}}{2} as a single fraction.

$$x=\frac{11}{6\times 2}$$

Multiply 6 and 2 to get 12.

$$x=\frac{11}{12}$$