Solve -1=2x+7/3

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

Solve for x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

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

Subtract \frac{7}{3} from both sides.

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

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

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

Since -\frac{3}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 7 from -3 to get -10.

$$2x=-\frac{10}{3}$$

Divide both sides by 2.

$$x=\frac{-\frac{10}{3}}{2}$$

Express \frac{-\frac{10}{3}}{2} as a single fraction.

$$x=\frac{-10}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{-10}{6}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5}{3}$$