Solve 9-4/5left(u-3right)=1

$$9- \frac{ 4 }{ 5 } \left( u-3 \right) = 1$$

Solve for u

$$u=13$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{4}{5} by u-3.

$$9-\frac{4}{5}u-\frac{4}{5}\left(-3\right)=1$$

Express -\frac{4}{5}\left(-3\right) as a single fraction.

$$9-\frac{4}{5}u+\frac{-4\left(-3\right)}{5}=1$$

Multiply -4 and -3 to get 12.

$$9-\frac{4}{5}u+\frac{12}{5}=1$$

Convert 9 to fraction \frac{45}{5}.

$$\frac{45}{5}-\frac{4}{5}u+\frac{12}{5}=1$$

Since \frac{45}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$\frac{45+12}{5}-\frac{4}{5}u=1$$

Add 45 and 12 to get 57.

$$\frac{57}{5}-\frac{4}{5}u=1$$

Subtract \frac{57}{5} from both sides.

$$-\frac{4}{5}u=1-\frac{57}{5}$$

Convert 1 to fraction \frac{5}{5}.

$$-\frac{4}{5}u=\frac{5}{5}-\frac{57}{5}$$

Since \frac{5}{5} and \frac{57}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{4}{5}u=\frac{5-57}{5}$$

Subtract 57 from 5 to get -52.

$$-\frac{4}{5}u=-\frac{52}{5}$$

Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.

$$u=-\frac{52}{5}\left(-\frac{5}{4}\right)$$

Multiply -\frac{52}{5} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$u=\frac{-52\left(-5\right)}{5\times 4}$$

Do the multiplications in the fraction \frac{-52\left(-5\right)}{5\times 4}.

$$u=\frac{260}{20}$$

Divide 260 by 20 to get 13.

$$u=13$$