Answer
$$x = 3$$
Work Step by Step
We have $$\frac{3x}{4} -\frac{x}{3} + 1 = \frac{4x}{5} -\frac{3}{20}$$
As we see we have a lot of rational terms so we are going to multiply all the equation by the minimum common multiple of the denominators. The minimum common multiple of $3,4,5$ and $20$ is $60$
Multiplying each side of the equation by $60$ $$60*(\frac{3x}{4} -\frac{x}{3} + 1) = 60*(\frac{4x}{5} -\frac{3}{20})$$ $$\frac{60*(3x)}{4} -\frac{60*(x)}{3} + 60*(1) = \frac{60*(4x)}{5} -\frac{60*(3)}{20}$$
Simplifying each fraction $$15*(3x) - 20*(x) + 60*(1) = 12*(4x) - 3*(3)$$ $$45x - 20x + 60 = 48x - 9$$
Taking $x$ terms to the left side of the equation and numbers to the right
$$45x - 20x - 48x = -9 - 60$$
Simplifying $$-23x = -69$$
Taking $-23$ which is multiplying to the other side dividing $$x = \frac{-69}{-23} = 3$$
