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igomit [66]
3 years ago
11

Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4

+ 6 2. Combine like terms: 2x + 18 = 10x + 2 3. Use the subtraction property of equality: 18 = 8x + 2 4. Use the subtraction property of equality: 16 = 8x 5. Use the division property of equality:
Mathematics
2 answers:
Yuliya22 [10]3 years ago
8 0

Answer:

x=2.

Step-by-step explanation:

We have been given an equation 3(2x+6)-4x=2(5x-2)+6. We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6

6x+18-4x=10x-4+6

Step 2: Combine like terms.

6x-4x+18=10x-4+6

2x+18=10x+2

Step 3: Use subtraction property of equality:

2x-2x+18-2=10x-2x+2-2

16=8x

Step 4: Use the division property of equality:

\frac{16}{8}=\frac{8x}{8}

2=x

Therefore, the solution of our given equation is x=2.

Leokris [45]3 years ago
6 0

Answer:

2

Step-by-step explanation:

test

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Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks
saw5 [17]

Answer:

Her aunt buy <u>75</u> trucks.

Step-by-step explanation:

Given:

Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks, Henry noticed that a fifth of his collection were convertible.

Now, to find the trucks her aunt buy.

Let the total collection of Henry be x.

<em>Number of trucks Henry had in his collection = 5.</em>

<em>Number of convertibles Henry had in his collection = 20.</em>

As, Henry's \frac{1}{5} collection were convertible.

Now, to get the total number of collection:

\frac{1}{5}\ of\ x=20.

\frac{1}{5} \times x=20

<em>Multiplying both sides by 20 we get:</em>

x=100.

<em>Total collection of Henry = 100.</em>

So, the total number of trucks he had in his collection is:

<u><em>Total collection of Henry - number of convertibles Henry had in his collection.</em></u>

=100-20

=80.

<em>Hence, Henry had total 80 trucks in his collection.</em>

<em>And 5 trucks he had already in his miniature car collection.</em>

Now, to get the number of trucks her aunt buy we subtract trucks he had already in his miniature car collection from the total number of trucks in Henry's collection:

<u><em>Total number of trucks in Henry's collection - Number of trucks already in his miniature car collection.</em></u>

=80-5

=75.

Therefore, her aunt buy 75 trucks.

8 0
3 years ago
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