Solve x-9/7=-19/2

$$x- \frac{ 9 }{ 7 } =- \frac{ 19 }{ 2 }$$

Solve for x

$$x = -\frac{115}{14} = -8\frac{3}{14} \approx -8.214285714$$

Steps for Solving Linear Equation

Add \frac{9}{7} to both sides.

$$x=-\frac{19}{2}+\frac{9}{7}$$

Least common multiple of 2 and 7 is 14. Convert -\frac{19}{2} and \frac{9}{7} to fractions with denominator 14.

$$x=-\frac{133}{14}+\frac{18}{14}$$

Since -\frac{133}{14} and \frac{18}{14} have the same denominator, add them by adding their numerators.

$$x=\frac{-133+18}{14}$$

Add -133 and 18 to get -115.

$$x=-\frac{115}{14}$$