Solve x=2(-9/7)-3/3

$$x = \frac { 2 ( - \frac { 9 } { 7 } ) - 3 } { 3 }$$

Solve for x

$$x = -\frac{13}{7} = -1\frac{6}{7} \approx -1.857142857$$

Steps for Solving Linear Equation

Express 2\left(-\frac{9}{7}\right) as a single fraction.

$$x=\frac{\frac{2\left(-9\right)}{7}-3}{3}$$

Multiply 2 and -9 to get -18.

$$x=\frac{\frac{-18}{7}-3}{3}$$

Fraction \frac{-18}{7} can be rewritten as -\frac{18}{7} by extracting the negative sign.

$$x=\frac{-\frac{18}{7}-3}{3}$$

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

$$x=\frac{-\frac{18}{7}-\frac{21}{7}}{3}$$

Since -\frac{18}{7} and \frac{21}{7} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{\frac{-18-21}{7}}{3}$$

Subtract 21 from -18 to get -39.

$$x=\frac{-\frac{39}{7}}{3}$$

Express \frac{-\frac{39}{7}}{3} as a single fraction.

$$x=\frac{-39}{7\times 3}$$

Multiply 7 and 3 to get 21.

$$x=\frac{-39}{21}$$

Reduce the fraction \frac{-39}{21} to lowest terms by extracting and canceling out 3.

$$x=-\frac{13}{7}$$

Assign x

$$x≔-\frac{13}{7}$$