Solve x-181/5=27/15

$$x-18 \frac{ 1 }{ 5 } = 2 \frac{ 7 }{ 15 }$$

Solve for x

$$x = \frac{62}{3} = 20\frac{2}{3} \approx 20.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,15.

$$15x-3\left(18\times 5+1\right)=2\times 15+7$$

Multiply 18 and 5 to get 90.

$$15x-3\left(90+1\right)=2\times 15+7$$

Add 90 and 1 to get 91.

$$15x-3\times 91=2\times 15+7$$

Multiply -3 and 91 to get -273.

$$15x-273=2\times 15+7$$

Multiply 2 and 15 to get 30.

$$15x-273=30+7$$

Add 30 and 7 to get 37.

$$15x-273=37$$

Add 273 to both sides.

$$15x=37+273$$

Add 37 and 273 to get 310.

$$15x=310$$

Divide both sides by 15.

$$x=\frac{310}{15}$$

Reduce the fraction \frac{310}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{62}{3}$$