Want to double check on this: 3(x + 5) - 2(x + 2) = 20 I got 1 as the answer. Is that right?
na. The answer should be x=9
If you doubt your answer then put 1 in place of x in your equation and check whether you are getting both sides equal or not...
3(1 + 5) - 2(1 + 2) = 20 18 - 6 = 20 12 = 20 ( false) This means 1 is not the right answer..
Darn! do you know what I might have done wrong?
Let us go step by step...
Distribute 3 and 2 to their respective brackets first... Can you do that??
\(3(x + 5) = ??\)
You could have made the mistake when you expanded the brackets... For example -2(x+2) is -2x-4
Wow! yeah I did...I didn't think it was going to be negative.
3x+15
\(-2(x + 2) = ??\)
-2x+4?
Nope here you have mistaken..
always look out for a negative if the number which you are multyplying the bracket with is negative. Do not leave out the negative sign
\[-2 ( x + 2) \implies -2 \times x + (-2) \times (2) \implies -2x + (-4) \implies -2x - 4\]
So that is where you went wrong @jewjewbri in -2(x+2)
Remember : \(+(-) = \; \; -\)
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