SOLUTION: How to I know if I am doing this equation right ? 8c + 2 - 2c - 6 - 6c - 9 = 7c + 3 - 6c + 4 + 5c + 10 My Solution and how I got it : 8c + 2 - 2c - 6 - 6c - 9 (10c) (8c)

Algebra ->  Linear-equations -> SOLUTION: How to I know if I am doing this equation right ? 8c + 2 - 2c - 6 - 6c - 9 = 7c + 3 - 6c + 4 + 5c + 10 My Solution and how I got it : 8c + 2 - 2c - 6 - 6c - 9 (10c) (8c)       Log On


   



Question 526819: How to I know if I am doing this equation right ?
8c + 2 - 2c - 6 - 6c - 9 = 7c + 3 - 6c + 4 + 5c + 10
My Solution and how I got it :
8c + 2 - 2c - 6 - 6c - 9
(10c) (8c) (2c) (-4c) [(-5c)]
7c + 3 - 6c + 4 + 5c + 10
(10c) (4c) (8c)(13c) (23c)
-5c = 23c
---- -----
5 5
c = 23c /
/ 5
Is this the correct way to do this type of equation ?

Found 2 solutions by Alan3354, Maths68:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How to I know if I am doing this equation right ?
8c + 2 - 2c - 6 - 6c - 9 = 7c + 3 - 6c + 4 + 5c + 10
My Solution and how I got it :
8c + 2 - 2c - 6 - 6c - 9
(10c) (8c) (2c) (-4c) [(-5c)]
7c + 3 - 6c + 4 + 5c + 10
(10c) (4c) (8c)(13c) (23c)
-5c = 23c
---- -----
8c + 2 - 2c - 6 - 6c - 9 = 7c + 3 - 6c + 4 + 5c + 10
Collect the c terms on both sides
8c - 2c - 6c = 0c left side
7c - 6c + 5c = 6c right side
-----------------------
Then add the coefficients on both sides
2 - 6 - 9 = -13 left side
3 + 4 + 10 = 17 right side
-----------
0c - 13 = 6c + 17
-13 = 6c + 17
Subtract 17
-30 = 6c
divide by 6
c = -5


Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
8c+%2B+2+-+2c+-+6+-+6c+-+9+=+7c+%2B+3+-+6c+%2B+4+%2B+5c+%2B+10+
8c-2c-6c-6-9%2B2=7c%2B5c-6c%2B3+%2B4%2B10+ (combine like terms)
8c-8c-15%2B2=12c-6c%2B17
cross%288c%29-cross%288c%29-13=6c%2B17
-13=6c%2B17
-13-17=6c%2B17-17
-30=6c%2Bcross%2817%29-cross%2817%29
-30=6c
Divide by 6 both sides
-30%2F6=6c%2F6
-cross%2830%29%2Fcross%286%29=cross%286%29c%2Fcross%286%29
-5=c
c=-5

Check
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-40+%2B+2+%2B10+-+6+%2B30+-+9+=+-35+%2B+3+%2B30+%2B+4+-25+%2B+10+
-40-6-9%2B2%2B10%2B30=+-35-25%2B3%2B30%2B4%2B10+
-55%2B42=+-60%2B47
-13=+-13