SOLUTION: 2.5x-7.5+1.7x=10.8x+16.2

Algebra ->  Equations -> SOLUTION: 2.5x-7.5+1.7x=10.8x+16.2      Log On


   

Question 92518: 2.5x-7.5+1.7x=10.8x+16.2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2.5x-7.5%2B1.7x=10.8x%2B16.2

10%282.5x-7.5%2B1.7x%29=10%2810.8x%2B16.2%29Multiply both sides by 10 to remove the decimal of each term

25x-75%2B17x=108x%2B162 Distribute and multiply (or just simply move the decimal one place to the right for each term)




42x-75=108x%2B162 Combine the variable terms 25x and 17x on the left side to get 42x



42x=108x%2B162%2B75 Add 75 to both sides


42x-108x=162%2B75 Subtract 108x from both sides



-66+x=162%2B75 Combine like terms 42+x and -108+x on the left side to get -66+x




-66+x=237 Combine like terms 75 and 162 on the left side to get 237





x=%28237%29%2F%28-66%29 Now divide both sides by -66 to isolate and solve for x


x=+-79+%2F+22 Reduce



So our answer is
x=+-79+%2F+22


which is x=+-3.59091 in decimal form