Solve 3x-7+2/3=-1

$$3 x - 7 + \frac { 2 } { 3 } = - 1$$

Solve for x

$$x = \frac{16}{9} = 1\frac{7}{9} \approx 1.777777778$$

Steps for Solving Linear Equation

Convert -7 to fraction -\frac{21}{3}.

$$3x-\frac{21}{3}+\frac{2}{3}=-1$$

Since -\frac{21}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$3x+\frac{-21+2}{3}=-1$$

Add -21 and 2 to get -19.

$$3x-\frac{19}{3}=-1$$

Add \frac{19}{3} to both sides.

$$3x=-1+\frac{19}{3}$$

Convert -1 to fraction -\frac{3}{3}.

$$3x=-\frac{3}{3}+\frac{19}{3}$$

Since -\frac{3}{3} and \frac{19}{3} have the same denominator, add them by adding their numerators.

$$3x=\frac{-3+19}{3}$$

Add -3 and 19 to get 16.

$$3x=\frac{16}{3}$$

Divide both sides by 3.

$$x=\frac{\frac{16}{3}}{3}$$

Express \frac{\frac{16}{3}}{3} as a single fraction.

$$x=\frac{16}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$x=\frac{16}{9}$$