Solve 60/90-(6/90+x)=29/90

$$\frac { 60 } { 90 } - ( \frac { 6 } { 90 } + x ) = \frac { 29 } { 90 }$$

Solve for x

$$x=\frac{5}{18}\approx 0.277777778$$

Steps for Solving Linear Equation

Reduce the fraction \frac{60}{90} to lowest terms by extracting and canceling out 30.

$$\frac{2}{3}-\left(\frac{6}{90}+x\right)=\frac{29}{90}$$

Reduce the fraction \frac{6}{90} to lowest terms by extracting and canceling out 6.

$$\frac{2}{3}-\left(\frac{1}{15}+x\right)=\frac{29}{90}$$

To find the opposite of \frac{1}{15}+x, find the opposite of each term.

$$\frac{2}{3}-\frac{1}{15}-x=\frac{29}{90}$$

Least common multiple of 3 and 15 is 15. Convert \frac{2}{3} and \frac{1}{15} to fractions with denominator 15.

$$\frac{10}{15}-\frac{1}{15}-x=\frac{29}{90}$$

Since \frac{10}{15} and \frac{1}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{15}-x=\frac{29}{90}$$

Subtract 1 from 10 to get 9.

$$\frac{9}{15}-x=\frac{29}{90}$$

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

$$\frac{3}{5}-x=\frac{29}{90}$$

Subtract \frac{3}{5} from both sides.

$$-x=\frac{29}{90}-\frac{3}{5}$$

Least common multiple of 90 and 5 is 90. Convert \frac{29}{90} and \frac{3}{5} to fractions with denominator 90.

$$-x=\frac{29}{90}-\frac{54}{90}$$

Since \frac{29}{90} and \frac{54}{90} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{29-54}{90}$$

Subtract 54 from 29 to get -25.

$$-x=\frac{-25}{90}$$

Reduce the fraction \frac{-25}{90} to lowest terms by extracting and canceling out 5.

$$-x=-\frac{5}{18}$$

Multiply both sides by -1.

$$x=\frac{5}{18}$$