# 2.2E: Linear Equations in One Variable (Exercises)

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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) .

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