Question

What's is the answer to the equation 4(x+7)=9(x-1)+22 ?

Answer 1

Hello, there!

What's the answer to the equation 4(x + 7) = 9(x - 1) + 22 


Answer: x = 3
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Explanation:


First, let's simplify this
4 * x = 4x

4 * 7 = 28

Now, we have 4x + 28 = 9(x - 1) + 22

Now, let's simplify the right side by using the distributive property as well.

9 * x = 9x

9 * -1 = -9

Now, we have 4x + 28 = 9x -9 + 22

Let's combine like terms on the right side

-9 + 22 = 13

Npw, we have 4x + 28 = 9x + 13

Let's isolate the x. To do this, we will first subtract 28 from each side.

4x + 28 = 9x + 13
       -28           -28

4x = 9x - 15

Now, we will subtract 9x from each side.

4x = 9x - 15
-9x   -9x

-5x = -15

Now, we will multiply each side by -1 to make x a positive number.

-5x = -15
*-1    *-1

5x = 15

Finally, we will simplify this completely. To do this, we will divide each side by 5.

5x = 15
---    ----
 5      5

x = 3


Our final answer is x = 3


I hope I helped!

Let me know if you need anything else!

~ Zoe