Question 92518
{{{2.5x-7.5+1.7x=10.8x+16.2}}}


{{{10(2.5x-7.5+1.7x)=10(10.8x+16.2)}}}Multiply both sides by 10 to remove the decimal of each term


{{{25x-75+17x=108x+162}}} Distribute and multiply (or just simply move the decimal one place to the right for each term)





{{{42x-75=108x+162}}}  Combine the variable terms 25x and  17x  on the left side to get 42x




{{{42x=108x+162+75}}} Add 75 to both sides



{{{42x-108x=162+75}}} Subtract 108x from both sides




{{{-66 x=162+75}}} 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=(237)/(-66)}}} Now divide both sides by  -66 to isolate and solve for x



{{{x= -79 / 22}}} Reduce




So our answer is

{{{x= -79 / 22}}}



which is {{{x= -3.59091}}} in decimal form