Solve 2x+9=-17/7

$$2x+9= \frac{ -17 }{ 7 }$$

Solve for x

$$x = -\frac{40}{7} = -5\frac{5}{7} \approx -5.714285714$$

Steps for Solving Linear Equation

Fraction \frac{-17}{7} can be rewritten as -\frac{17}{7} by extracting the negative sign.

$$2x+9=-\frac{17}{7}$$

Subtract 9 from both sides.

$$2x=-\frac{17}{7}-9$$

Convert 9 to fraction \frac{63}{7}.

$$2x=-\frac{17}{7}-\frac{63}{7}$$

Since -\frac{17}{7} and \frac{63}{7} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{-17-63}{7}$$

Subtract 63 from -17 to get -80.

$$2x=-\frac{80}{7}$$

Divide both sides by 2.

$$x=\frac{-\frac{80}{7}}{2}$$

Express \frac{-\frac{80}{7}}{2} as a single fraction.

$$x=\frac{-80}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{-80}{14}$$

Reduce the fraction \frac{-80}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{40}{7}$$