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Sav [38]
2 years ago
12

Solve for x.

Mathematics
1 answer:
Doss [256]2 years ago
5 0

Answer:

x= 16

Step-by-step explanation:

First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)

7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.

Now, you have to get the x on one side to solve for x (so like x=__).

To do this, look at the equation as of now. 7x+14=6x+30.

We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.

Now we have  16=x (or x=16).

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Find the measure of ZB.
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The sum of the inside angles of a triangle, always sum up to 180 degrees. Using this information, we can create the following equation for this problem:

(3x-2)\text{ +(6}x\text{+11)+(5}x\text{ +3) = 180}

Adding up all terms with 'x' and adding the other together, we have the following equation:

\begin{gathered} (3x+6x+5x)+(11+3-2)=180_{} \\ 14x+12=180 \\ 14x=180-12=168 \end{gathered}

Solving this last equation for 'x', we have the following:

\begin{gathered} 14x=168 \\ x=\frac{168}{14}=12 \end{gathered}

Then, the final answer for the 'x' value is twelve!

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i hope this helped have a good day

3 0
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