Solve x=11+5*(-43/22)/6

$$x = \frac { 11 + 5 \times ( - \frac { 43 } { 22 } ) } { 6 }$$

Solve for x

$$x=\frac{9}{44}\approx 0.204545455$$

Steps for Solving Linear Equation

Express 5\left(-\frac{43}{22}\right) as a single fraction.

$$x=\frac{11+\frac{5\left(-43\right)}{22}}{6}$$

Multiply 5 and -43 to get -215.

$$x=\frac{11+\frac{-215}{22}}{6}$$

Fraction \frac{-215}{22} can be rewritten as -\frac{215}{22} by extracting the negative sign.

$$x=\frac{11-\frac{215}{22}}{6}$$

Convert 11 to fraction \frac{242}{22}.

$$x=\frac{\frac{242}{22}-\frac{215}{22}}{6}$$

Since \frac{242}{22} and \frac{215}{22} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{\frac{242-215}{22}}{6}$$

Subtract 215 from 242 to get 27.

$$x=\frac{\frac{27}{22}}{6}$$

Express \frac{\frac{27}{22}}{6} as a single fraction.

$$x=\frac{27}{22\times 6}$$

Multiply 22 and 6 to get 132.

$$x=\frac{27}{132}$$

Reduce the fraction \frac{27}{132} to lowest terms by extracting and canceling out 3.

$$x=\frac{9}{44}$$

Assign x

$$x≔\frac{9}{44}$$