perform operations with positive and negative algebraic terms.

Now we can use all these skills to simplify expressions which involve the four operations and the distributive law.

When there is an expression involving a mixture of $+$+, $-$−, $\times$×, $\div$÷ and expanding brackets, we need to follow the correct order of operations.

1) If we see any brackets, we need to expand them first.

For example, in the expression $5\left(x+3\right)-2x$5(x+3)−2x, we need to expand $5\left(x+3\right)$5(x+3) before we consider the other term. We get $5x+15-2x$5x+15−2x.

2) Collect the like terms to simplify.

After expanding the brackets of $5\left(x+3\right)-2x$5(x+3)−2x, we got $5x+15-2x$5x+15−2x. Since there are now some like terms, we can combine these and simplify the expression even more. Doing this we get $3x+15$3x+15.

more than one set of brackets

If there is more than one set of brackets, we can expand them all in the one step.

Here is an expression which involves expanding more than one set of brackets: