3.1: 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) .