Determine whether the given problem is an equation or an expression. If it is an...

Step 1
The given equation is ${\displaystyle \frac{3}{4}(t-2)-\frac{2}{5}(2t-3)=\frac{1}{5}}$
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step 2
Consider the equation ${\displaystyle \frac{3}{4}(t-2)-\frac{2}{5}(2t-3)=\frac{1}{5}}$.
It is a equation.
${\displaystyle \left(20\right)\frac{3}{4}(t-2)-\left(20\right)\frac{2}{5}(2t-3)=\left(20\right)\frac{1}{5}}$ [lcm 4,5 is 20]
$15(t-2)-8(2t-3)=4$
$15t-30-16t+24-4=0$
$-t-10=0$
$t=-10$