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allochka39001 [22]
3 years ago
6

3(-X+4)=7x-8. Yeahhhh...

Mathematics
1 answer:
katovenus [111]3 years ago
8 0

Hey there!☺

Answer:\boxed{x=2}

Explanation:

3(-x+4)=7x-8

Let's start by simplifying both sides. First, we distribute.

(3)(-x)+(3)(4)=7x+-8

-3x+12=7x+-8

-3x+12=7x-8

Now let's subtract 7x from both sides.

-3x+12-7x=7x-8-7x\\-10x+12=-8

Now we will subtract 12 from both sides.

-10x+12-12=-8-12\\-10x=-20

In our last/final step, we will divide both sides by -10.

\frac{-10x}{-10}=\frac{-20}{-10}

Now simplify -20/-10.

-20/-10=2

x=2

Hope this helps!

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Elena must have substracted 1/2x from both sides of the equation.

Lin must have multiplied both sides of the equation by 2

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For Elena to have arrived at

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Then Elena must have substracted 1/2x from both sides of the equation.

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\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Substracting }\frac{1}{2}x\text{ from both sides of the equation will give Elena first step} \\ \frac{1}{2}x+3-\frac{1}{2}x=\frac{7}{2}x+5-\frac{1}{2}x \\ 3=\frac{7}{2}x-\frac{1}{2}x+5 \end{gathered}

For Lin to have arrived at

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It shows Lin must have multiplied both sides of the equation by 2

That is;

\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Multiply both sides of the equation by the lowest common mutiple } \\ \text{of the denominator which is 2.} \\ \frac{1}{2}x(2)+3(2)=\frac{7}{2}x(2)+5(2) \\ x+6=7x+10 \end{gathered}

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Step-by-step explanation:

Hypothesis testing is a statistical test, of testing an assumption (statement) about population parameter.

Null Hypothesis  [H0] is a neutral statement of 'no difference' about a population parameter; stating variable is no different than its mean.

Alternate hypothesis [H1] is the 'specific difference' stating hypothesis about a population parameter; contrary to the null hypothesis.

To determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater than 9% :

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