Answer
$t=-1$
Work Step by Step
Use the Subtraction Property of Equality by subtracting $\frac{3}{2}$ from each side of the equation:
$$\begin{align*}
\frac{3}{2}+t-\frac{3}{2}&=\frac{1}{2}-\frac{3}{2}\\
t&=-\frac{2}{2}\\\
t&=-1\end{align*}$$
Check the solution by substituting $-1$ to the variable in the given equation:
$$\begin{align*}
\frac{3}{2}+t&=\frac{1}{2}\\
\frac{3}{2}+(-1)&\stackrel{?}{=}\frac{1}{2}\\
\frac{1}{2}&\stackrel{\checkmark}{=}\frac{1}{2}\end{align*}$$
Thus, the solution is $t=-1$.
