Solve x=5-4(-5/11)/5

$$x = \frac { 5 - 4 ( - \frac { 5 } { 11 } ) } { 5 }$$

Solve for x

$$x = \frac{15}{11} = 1\frac{4}{11} \approx 1.363636364$$

Steps for Solving Linear Equation

Express 4\left(-\frac{5}{11}\right) as a single fraction.

$$x=\frac{5-\frac{4\left(-5\right)}{11}}{5}$$

Multiply 4 and -5 to get -20.

$$x=\frac{5-\frac{-20}{11}}{5}$$

Fraction \frac{-20}{11} can be rewritten as -\frac{20}{11} by extracting the negative sign.

$$x=\frac{5-\left(-\frac{20}{11}\right)}{5}$$

The opposite of -\frac{20}{11} is \frac{20}{11}.

$$x=\frac{5+\frac{20}{11}}{5}$$

Convert 5 to fraction \frac{55}{11}.

$$x=\frac{\frac{55}{11}+\frac{20}{11}}{5}$$

Since \frac{55}{11} and \frac{20}{11} have the same denominator, add them by adding their numerators.

$$x=\frac{\frac{55+20}{11}}{5}$$

Add 55 and 20 to get 75.

$$x=\frac{\frac{75}{11}}{5}$$

Express \frac{\frac{75}{11}}{5} as a single fraction.

$$x=\frac{75}{11\times 5}$$

Multiply 11 and 5 to get 55.

$$x=\frac{75}{55}$$

Reduce the fraction \frac{75}{55} to lowest terms by extracting and canceling out 5.

$$x=\frac{15}{11}$$

Assign x

$$x≔\frac{15}{11}$$