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2 years ago

5(x-3)+2x+21=3(x+4)+2x

Mathematics

1 answer:

nekit [7.7K]2 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−3)+2x+21=3(x+4)+2x

(5)(x)+(5)(−3)+2x+21=(3)(x)+(3)(4)+2x(Distribute)

5x+−15+2x+21=3x+12+2x

(5x+2x)+(−15+21)=(3x+2x)+(12)(Combine Like Terms)

7x+6=5x+12

Step 2: Subtract 5x from both sides.

7x+6−5x=5x+12−5x

2x+6=12

Step 3: Subtract 6 from both sides.

2x+6−6=12−6

2x=6

Step 4: Divide both sides by 2.

Hope this helps!

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Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

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Problems of normally distributed samples can be solved using the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

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