2.2.0: Linear Equations in One Variable (Exercises)

For the following exercises, solve for $x$.

12. $5 x+2=7 x-8$
13. $3(x+2)-10=x+4$
14. $7 x-3=5$
15. $12-5(x+1)=2 x-5$
16. $\frac{2 x}{3}-\frac{3}{4}=\frac{x}{6}+\frac{21}{4}$

For the following exercises, solve for $x .$ State all $x$ -values that are excluded from the solution set.

17. $\frac{x}{x^{2}-9}+\frac{4}{x+3}=\frac{3}{x^{2}-9} x \neq 3,-3$
18. $\frac{1}{2}+\frac{2}{x}=\frac{3}{4}$

For the following exercises, find the equation of the line using the point-slope formula.

19. Passes through these two points: (-2,1),(4,2) .
20. Passes through the point (-3,4) and has a slope of $-\frac{1}{3}$.
21. Passes through the point (-3,4) and is parallel to the graph $y=\frac{2}{3} x+5$
22. Passes through these two points: (5,1),(5,7) .