Solve x+45/6=158/12

$$x + 4 \frac { 5 } { 6 } = 15 \frac { 8 } { 12 }$$

Solve for x

$$x = \frac{65}{6} = 10\frac{5}{6} \approx 10.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,12.

$$12x+2\left(4\times 6+5\right)=15\times 12+8$$

Multiply 4 and 6 to get 24.

$$12x+2\left(24+5\right)=15\times 12+8$$

Add 24 and 5 to get 29.

$$12x+2\times 29=15\times 12+8$$

Multiply 2 and 29 to get 58.

$$12x+58=15\times 12+8$$

Multiply 15 and 12 to get 180.

$$12x+58=180+8$$

Add 180 and 8 to get 188.

$$12x+58=188$$

Subtract 58 from both sides.

$$12x=188-58$$

Subtract 58 from 188 to get 130.

$$12x=130$$

Divide both sides by 12.

$$x=\frac{130}{12}$$

Reduce the fraction \frac{130}{12} to lowest terms by extracting and canceling out 2.

$$x=\frac{65}{6}$$