Question

Simplify each expression.

$74.\left(3x+5\right)-\left(2x+3\right)$

Short answer

The simplified form of the expression is $x+2$.

Step-by-step solution

Step-1 – Apply the concept of like terms

In an expression, the terms containing the same variable are like terms.

Step-2 – Example for the like terms

In the expression $4p-2q+p+3q$, the like terms are the terms which contain variable. So, the terms containing the variable p are $4p\text{and}p$ and the terms containing the variable q $-2q\text{and}3q$.

Step-3 – Simplify the expression

Consider the provided expression.

$\left(3x+5\right)-\left(2x+3\right)$

Open the brackets. Recall that negative sign when multiplied with positive results in negative sign.

$\left(3x+5\right)-\left(2x+3\right)=3x+5-2x-3$

Group the like terms. Constant terms together and terms with variable x together.

$\begin{array}{l}(3x+5)-(2x+3)=3x+5-2x-3\\ =3x-2x+5-3\\ =x+2\end{array}$

Hence, the simplified form of the expression $\left(3x+5\right)-\left(2x+3\right)$ is$x+2$.