Chapter 8.3A, Problem 2A

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

a. $x+\sqrt{3}=2\sqrt{3}-x$

b. $\frac{3}{2}x-3=x+\sqrt{2}$

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

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

e. ${\left(x-5\right)}^2=9$