Question

Simplify the following problem, explaining each step.

13 - 4(x - 5)
Example: 4x - 3 + 2x - 6
Step Explanation
1. 6x - 3 Add 4x and 2x BECAUSE they are like terms (same variable)
a) What are the important key words or information needed from this problem?

Answer 1

`33 - 4x`

Explanation:

Given the term to be solved by explaining each step:

`13 - 4(x - 5)`

First of all, the bracket will be solved as per the BODMAS rule.

The bracket term is:

`4(x-5)`

Now, 4 will be multiplied with
`x` and -5.

i.e.

`4(x-5)=(4* x-4* 5)\\\Rightarrow (4x-20)`

Now, let us put the value back in the original expression.

`13 - 4(x - 5) = 13-(4x-20)`

Now, let us remove the bracket, negative sign will be multiplied with both i.e.
`4x` and -20

`\Rightarrow 13-4x+20 (\because` negative multiplied with negative makes positive term)

Now, 13 and 20 are like terms, they will be added.

`\therefore` the expression is equivalent to :

`\bold{33-4x}`