For the given expression,identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

$3x+2+5x$

In an algebraic expression, terms are separated by plus or minus signs.

The term coefficient refers to the number in front of the variable in any term of the expression.

A constantterm is the number which have no variable associated with it.

Like terms are the terms which have identical variable parts with same exponent on it.

In the given expression, $3x+2+5x$, observe that there are three terms 3x, 2, and 5x which are separated by plus signs.

So, the terms of the given expression are 3x, 2, and 5x.

The like terms are the terms which have identical variable with similar power on it. Here in the given expression only variable terms are 3x and 5x, and both terms have the same variable.

So, the like terms in the given expression are 3x and 5x.

Coefficients are the numbers associated with the variable in any term of the expression.

In the given expression the variable terms are 3x and 5x only.

So, the coefficients in the given expression are 3 and 5.

Constant terms are the number in any expression which do not have any variable part.

In the given expression the only number without variable part is 2.

So, the constant term in the given expression is 2.

In order to simplify the given expression, group the like terms and combine them as shown below

$\begin{array}{c}3x+2+5x=3x+5x+2\\ =(3+5)x+2\\ =8x+2\end{array}$

Thus, the simplified expression is $8x+2$.