SOLUTION: I need help with this equation. 5(2x + -7) = 33 + 3(6x + 4)

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Question 187357: I need help with this equation.

5(2x + -7) = 33 + 3(6x + 4)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
5%282x+%2B+-7%29+=+33+%2B+3%286x+%2B+4%29
I'm not sure what your main difficulty is, but I'll
go through it in detail
First you need the distributive law which is
a%28b+%2B+c+%2B+d%29+=+ab+%2B+ac+%2B+ad
5%282x+%2B+%28-7%29%29 is the same as
5%2A2%2Ax+%2B+5%2A%28-7%29
10x+-+35
Note that +(-5) = -5 (or any number, I just picked 5)
So far, I have:
10x+-+35+=+33+%2B+3%286x+%2B+4%29
I'll use the same law again on the right side
10x+-+35+=+33+%2B+3%2A6x+%2B+3%2A4%29
10x+-+35+=+33+%2B+18x+%2B+12%29
Now subtract 10x from both sides
-35+=+33+%2B+8x+%2B+12
Simplify the right side
-35+=+8x+%2B+45
Subtract 45 from both sides
-80+=+8x
Divide both sides by 8
-10+=+x
or, write it like
x+=+-10
Now check the answer:
10x+-+35+=+33+%2B+3%286x+%2B+4%29
10%2A%28-10%29+-+35+=+33+%2B+3%286%2A%28-10%29+%2B+4%29
-100+-+35+=+33+%2B+3%28-60+%2B+4%29
Add the number inside the ( ) on right side
-100+-+35+=+33+%2B+3%28-56%29
-135+=+33+-+168
-135+=+-135
OK