Linear Equation...

If $$\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$$, calculate the value of $$m$$.

If $$3(x + 5) - (x + 2)  = 2x - 3x + 4$$, then find the value of $$x$$.

Find the value of $$x: \dfrac {1}{x} + \dfrac {4}{5x} = \dfrac {2}{x + 5}$$

Find the value of $$\dfrac {4}{y} + 4$$ given that $$\dfrac {4}{y} + 4 = \dfrac {20}{y} + 20$$

If $$\dfrac{3}{9}=\dfrac{3}{x+2}$$, what is the value of $$x$$?

If $$\dfrac {2}{3x + 12} = \dfrac {2}{3}$$, then the value of $$x + 4 $$ is

If $$13$$ is added to one-half of a certain number, the result is $$37$$. What is the original number?

If $$10 + x$$ is $$5$$ more than $$10$$, what is the value of $$2x$$ ? 

A triangle has a perimeter of $$13$$ and one side of length $$3$$. If the lengths of the other two sides are equal, what is the length of each of them?

A number is doubled and $$9$$ is added. If the result is tripled it becomes $$75$$. What is that number?