Chapter 8.2A, Problem 3A

Solve each of the following if $x$ is a real number. If a real number solution does not exist, write “No solution.”

$a. x+3=2–x$

$b. \frac{3}{2}x–3=x+2$

$c. 5\left(2x\text{ + }\sqrt{2}\right)\text{ + 7}\left(2x\text{ + }\sqrt{2}\right)\text{ = 12}\sqrt{2}$

$d. 3\left(x\text{ - 3}\right)\text{ = 5}\left(x\text{ - 3}\right)$

$e.{\left(x\text{ - 2}\right)}^2\text{ = 9}$