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6 months ago

Solve for X. 4(2x + 5) + 2x + 3 = -11

2 answers:

3 0

We can begin by rewriting the problem:

4(2x + 5) + 2x + 3 = -11

Let’s solve in steps.

1. Distribute

8x + 20 + 2x + 3 = -11

2. Combine like terms

10x + 23 = -11

3. Subtract 23 from both sides

10x + (23 - 23) = -11 - 23

10x = -34

4. Divide both sides by 10

10 / 10 = 1 (or x)

-34 / 10 = -3.4

Therefore, x = -3.4.

dedylja [7]6 months ago

3 0

Answer:

-3.4

Step-by-step explanation:

8x+20+2x+3=-11

10x+23=-11

10x=-34

x=-3.4

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<h3>Further explanation</h3>

<u>Given: </u>

The total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib.
The weight of the bag of sugar is 1.4 Ib

<u>Question: </u>

What is the weight of each piece of butter?

<u>The Process: </u>

The two steps for obtaining the weight of each piece of butter are as follows:

<u>Step-1:</u> the total amount of butter is the total bag of butter and sugar subtracted by the weight of the bag of sugar.

$\boxed{ \ 3.8 \ lbs - 1.4 \ lbs = 2.4 \ lbs \ }$

<u>Step-2:</u> the total amount of butter divided by the number of pieces of butter is the the weight of each piece of butter.

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Let's also consider the following quick steps.

<u>Quick steps: </u>

$\boxed{ \ \frac{(3.8 - 1.4) \ lbs}{6 \ pieces} = \boxed{ \ 0.4 \ lbs/piece \ } \ }$

Therefore, the weight of each piece of butter is 0.4 lbs.

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