Solve 17.6=x11/5+27/5

$$17.6=x \frac{ 11 }{ 5 } + \frac{ 27 }{ 5 }$$

Solve for x

$$x = \frac{61}{11} = 5\frac{6}{11} \approx 5.545454545$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{11}{5}+\frac{27}{5}=17.6$$

Subtract \frac{27}{5} from both sides.

$$x\times \frac{11}{5}=17.6-\frac{27}{5}$$

Convert decimal number 17.6 to fraction \frac{176}{10}. Reduce the fraction \frac{176}{10} to lowest terms by extracting and canceling out 2.

$$x\times \frac{11}{5}=\frac{88}{5}-\frac{27}{5}$$

Since \frac{88}{5} and \frac{27}{5} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{11}{5}=\frac{88-27}{5}$$

Subtract 27 from 88 to get 61.

$$x\times \frac{11}{5}=\frac{61}{5}$$

Multiply both sides by \frac{5}{11}, the reciprocal of \frac{11}{5}.

$$x=\frac{61}{5}\times \frac{5}{11}$$

Multiply \frac{61}{5} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{61\times 5}{5\times 11}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{61}{11}$$