Solve 29/43-(x+13/43)=5/43

$$\frac{ 29 }{ 43 } -(x+ \frac{ 13 }{ 43 } )= \frac{ 5 }{ 43 }$$

Solve for x

$$x=\frac{11}{43}\approx 0.255813953$$

Steps for Solving Linear Equation

To find the opposite of x+\frac{13}{43}, find the opposite of each term.

$$\frac{29}{43}-x-\frac{13}{43}=\frac{5}{43}$$

Since \frac{29}{43} and \frac{13}{43} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-13}{43}-x=\frac{5}{43}$$

Subtract 13 from 29 to get 16.

$$\frac{16}{43}-x=\frac{5}{43}$$

Subtract \frac{16}{43} from both sides.

$$-x=\frac{5}{43}-\frac{16}{43}$$

Since \frac{5}{43} and \frac{16}{43} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{5-16}{43}$$

Subtract 16 from 5 to get -11.

$$-x=-\frac{11}{43}$$

Multiply both sides by -1.

$$x=\frac{11}{43}$$