Question 210226
{{{4.9(3.7x+1.4)=34.7x}}} Start with the given equation.



{{{4.9(3.7x)+4.9(1.4)=34.7x}}} Distribute



{{{18.13x+6.86=34.7x}}} Multiply.



{{{100(18.13x+6.86)=100(34.7x)}}} Multiply both sides by 100 to clear out the decimals.



{{{1813x+686=3470x}}} Distribute and multiply.



{{{1813x=3470x-686}}} Subtract {{{686}}} from both sides.



{{{1813x-3470x=-686}}} Subtract {{{3470x}}} from both sides.



{{{-1657x=-686}}} Combine like terms on the left side.



{{{x=(-686)/(-1657)}}} Divide both sides by {{{-1657}}} to isolate {{{x}}}.



{{{x=686/1657}}} Reduce.



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Answer:


So the solution is {{{x=686/1657}}}