Solve 5-2/3(n-3)=1

$$5 - \frac { 2 } { 3 } ( n - 3 ) = 1$$

Solve for n

$$n=9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{2}{3} by n-3.

$$5-\frac{2}{3}n-\frac{2}{3}\left(-3\right)=1$$

Express -\frac{2}{3}\left(-3\right) as a single fraction.

$$5-\frac{2}{3}n+\frac{-2\left(-3\right)}{3}=1$$

Multiply -2 and -3 to get 6.

$$5-\frac{2}{3}n+\frac{6}{3}=1$$

Divide 6 by 3 to get 2.

$$5-\frac{2}{3}n+2=1$$

Add 5 and 2 to get 7.

$$7-\frac{2}{3}n=1$$

Subtract 7 from both sides.

$$-\frac{2}{3}n=1-7$$

Subtract 7 from 1 to get -6.

$$-\frac{2}{3}n=-6$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$n=-6\left(-\frac{3}{2}\right)$$

Express -6\left(-\frac{3}{2}\right) as a single fraction.

$$n=\frac{-6\left(-3\right)}{2}$$

Multiply -6 and -3 to get 18.

$$n=\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$n=9$$