Simplifying Algebraic Expressions

How to Simplify Expressions

To simplify expressions first expand any brackets, next multiply or divide any terms and use the laws of indices if necessary, then collect like terms by adding or subtracting and finally rewrite the expression.

For example to simplify

$$8x+4+3(2x-3)$$

Expand the brackets

$$8x+4+6x-9$$

Collect like terms

$$\begin{array}{cc}8x+6x& =14x\\ 4-9& =-5\end{array}$$

Rewrite the expression

$$\begin{array}{c}8x+4+3(2x-3)\\ =14x-5\end{array}$$