Question 118641
{{{0.08x+0.5(x+100)=73.2}}} Start with the given equation



{{{0.08x+0.5x+50=73.2}}} Distribute



{{{100(0.08x+0.5x+50)=100(73.2)}}} Multiply both sides by 100 to move the decimal on each number 2 times. This will make every number a whole number.


{{{8x+50x+5000=7320}}} Distribute and multiply




{{{58x+5000=7320}}} Combine like terms on the left side



{{{58x=7320-5000}}}Subtract 5000 from both sides



{{{58x=2320}}} Combine like terms on the right side



{{{x=(2320)/(58)}}} Divide both sides by 58 to isolate x




{{{x=40}}} Divide


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Answer:

So our answer is {{{x=40}}}