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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?

Respuesta :

Answer:

[tex]33 - 4x[/tex]

Step-by-step explanation:

Given the term to be solved by explaining each step:

[tex]13 - 4(x - 5)[/tex]

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

The bracket term is:

[tex]4(x-5)[/tex]

Now, 4 will be multiplied with [tex]x[/tex] and -5.

i.e.

[tex]4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)[/tex]

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

[tex]13 - 4(x - 5) = 13-(4x-20)[/tex]

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

[tex]\Rightarrow 13-4x+20 (\because[/tex] negative multiplied with negative makes positive term)

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

[tex]\therefore[/tex] the expression is equivalent to :

[tex]\bold{33-4x}[/tex]