Question 127125

{{{0.01x+3.1=2.03x-2.96}}} Start with the given equation



{{{100(0.01x+3.1)=100(2.03x-2.96)}}} Multiply both sides by 100 to move the decimal on each number 2 times. This will make every number a whole number.


{{{x+310=203x-296}}} Distribute and multiply


{{{x=203x-296-310}}}Subtract 310 from both sides



{{{x-203x=-296-310}}} Subtract 203x from both sides



{{{-202x=-296-310}}} Combine like terms on the left side



{{{-202x=-606}}} Combine like terms on the right side



{{{x=(-606)/(-202)}}} Divide both sides by -202 to isolate x




{{{x=3}}} Divide


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Answer:

So our answer is {{{x=3}}}