When 3(2x + 5) is added to 2(2x − 4) the resulting expression is?

Question

09-11-2020
Mathematics

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When 3(2x + 5) is added to 2(2x − 4) the resulting expression is?

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InLoveWithPugs InLoveWithPugs · Answer 1 · 2020-11-09T16:13:13+01:00

Answer:

10x + 7

Step-by-step explanation:

3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)

Remember PEMDAS

P – Parentheses (distribution)

E – Exponents

M – Multiplication

/D – Division (whichever comes first from left to right)

A – Addition

/S – Subtraction (whichever comes first from left to right)

First, we will distribute the left side.

3(2x + 5)

3 * 2x = 6x

3 * 5 = 15

Add them together to get:

6x + 15

6x + 15 + 2(2x - 4)

We must now distribute the right side.

2 * 2x = 4x

2 * -4 = -8

Add them together to get:

4x -8

We now have:

6x + 15 + 4x - 8

Let's combine like terms.

6x and 4x are like terms.

Combine: 6x + 4x = 10x

15 and -8 are like terms.

15 - 8 = 7

Now we have 10x + 7

Since 10 and 7 don't have any GCF, we have our answer.

10x + 7

~ [tex]InLoveWithPugs[/tex]

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