Find the value of $x$ from the given linear equation:
$$2.75+3.5x=9.25+1.5x$$

Let's solve the linear equation step-by-step:
Given equation:

$$2.75+3.5x=9.25+1.5x$$

Rearrange the equation to bring all terms containing $x$ to the left-hand side (LHS) and constant terms to the right-hand side (RHS):

$$3.5x-1.5x=9.25-2.75$$

Simplify both sides:

$$2x=6.5$$

Divide by $2$ to find $x$:

$$x=\frac{6.5}{2}$$

$$x=3.25$$

Thus, the value of $x$ is $3.25$.