Solve 1/6(6-x)=1/9

$$\frac { 1 } { 6 } ( 6 - x ) = \frac { 1 } { 9 }$$

Solve for x

$$x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$6-x=\frac{1}{9}\times 6$$

Multiply \frac{1}{9} and 6 to get \frac{6}{9}.

$$6-x=\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$6-x=\frac{2}{3}$$

Subtract 6 from both sides.

$$-x=\frac{2}{3}-6$$

Convert 6 to fraction \frac{18}{3}.

$$-x=\frac{2}{3}-\frac{18}{3}$$

Since \frac{2}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{2-18}{3}$$

Subtract 18 from 2 to get -16.

$$-x=-\frac{16}{3}$$

Multiply both sides by -1.

$$x=\frac{16}{3}$$