Question

# (x/5)-(1/2)=3

Equations and inequalities
$$\displaystyle{\left(\frac{{x}}{{5}}\right)}-{\left(\frac{{1}}{{2}}\right)}={3}$$

$$\displaystyle{\left(\frac{{x}}{{5}}\right)}-{\left(\frac{{1}}{{2}}\right)}={3}$$ Given equation.
$$\displaystyle{10}{\left({\left(\frac{{x}}{{5}}\right)}-{\left(\frac{{1}}{{2}}\right)}\right)}={10}{\left({3}\right)}$$ Multiply both sides by the LCD of 10.
$$\displaystyle{x}=\frac{{35}}{{2}}$$ Divide both sides by 2.
$$\displaystyle{x}={17}{\left(\frac{{1}}{{2}}\right)}$$ Convert to a mixed number.