Question 116180
{{{9.1(1-x)+5x=-4.2(x-8)}}} Start with the given equation



{{{10(9.1(1-x)+5x)=10(-4.2(x-8))}}} Multiply both sides by 10 to move the decimal on each number 1 time. This will make every number a whole number.



{{{91(1-x)+50x=-42(x-8)}}} Distribute and multiply



{{{91-91x+50x=-42x+336}}} Distribute again



{{{-41x+91=-42x+336}}} Combine like terms on the left side



{{{-41x=-42x+336-91}}}Subtract 91 from both sides



{{{-41x+42x=336-91}}} Add 42x to both sides



{{{x=336-91}}} Combine like terms on the left side



{{{x=245}}} Combine like terms on the right side


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Answer:

So our answer is {{{x=245}}}