SOLUTION: How do you solve 7(1 − x) = 9(1 + 2x) + 8. 7-7x=9+18x+8 7-7x=17+18x 7-7-7x=17-7+18x 7x=10+18x 7x-18x=10+18x-18x -11x=10

Algebra ->  Radicals -> SOLUTION: How do you solve 7(1 − x) = 9(1 + 2x) + 8. 7-7x=9+18x+8 7-7x=17+18x 7-7-7x=17-7+18x 7x=10+18x 7x-18x=10+18x-18x -11x=10       Log On


   

Question 642667: How do you solve 7(1 − x) = 9(1 + 2x) + 8.
7-7x=9+18x+8
7-7x=17+18x
7-7-7x=17-7+18x
7x=10+18x
7x-18x=10+18x-18x
-11x=10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You made a mistake highlighted in red

7-7x=9+18x+8
7-7x=17+18x
7-7-7x=17-7+18x
7x=10+18x
7x-18x=10+18x-18x
-11x=10

It should be -7x and not 7x. So you lost a negative sign somehow.


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7%281-x%29=9%281%2B2x%29%2B8 Start with the given equation.


7-7x=9%2B18x%2B8 Distribute.


7-7x=18x%2B17 Combine like terms on the right side.


-7x=18x%2B17-7 Subtract 7 from both sides.


-7x-18x=17-7 Subtract 18x from both sides.


-25x=17-7 Combine like terms on the left side.


-25x=10 Combine like terms on the right side.


x=%2810%29%2F%28-25%29 Divide both sides by -25 to isolate x.


x=-2%2F5 Reduce.


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Answer:

So the solution is x=-2%2F5