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pav-90 [236]
3 years ago
14

An equation is shown below: 6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain ea

ch step. (6 points) Part B: What value of x makes the equation true? (4 points)
Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer: x = 7

Step-by-step explanation:

6(2x-11)+15=3x+12

1) Distribute 6 (distributive-property)

12x - 66 + 15 = 3x + 12

12x - 51 = 3x + 12

Subtract 12 from both sides; what ever you do to one side, you need to do to ther other.

12x - 63 = 3x

Subtract 3x from both sides.

9x - 63 = 0

Add 63 to both sides.

9x = 63

Divide by 9 to getx by itself.

63/9 = 7

x = 7

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Answer:

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Step-by-step explanation:

24 x 6 = 144 + 7 times 6 = 186

vs

25 times 6 = 150

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Two consecutive even integers have a sum of 46
harina [27]
X represents the missing numbers!

x+(x+2)=46
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The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p=28.2t+644 where t is the
egoroff_w [7]

p = 28.2t + 644\\\\p-644 = 28.2t\\\\\frac{p-644}{28.2} = \frac{28.2t}{28.2}\\  \\t = \frac{p-644}{28.2}

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It will take 24 years.

6 0
3 years ago
Question 1 of 25
VladimirAG [237]

Answer:

x = 4

Step-by-step explanation:

The given equation is as follows :

4(3x - 6) = 24

If we want to solve the above equation, the steps are:

Using distributive property first as:

4(3x)-4(6)=24

12x-24=24

Adding 24 both sides,

12x-24+24=24+24

12x=48

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So, the value of x = 4. All given steps are correct.

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4 years ago
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