Question 115544
{{{0.2(x+0.2)+0.5(x-4)=5.74}}} Start with the given equation



{{{20(x+0.2)+50(x-4)=574}}} Multiply both sides by 100 to move the decimal 2 places over.


{{{20x+4+50x-200=574}}} Distribute



{{{70x-196=574}}} Combine like terms on the left side



{{{70x=574+196}}}Add 196 to both sides



{{{70x=770}}} Combine like terms on the right side



{{{x=(770)/(70)}}} Divide both sides by 70 to isolate x




{{{x=11}}} Divide


--------------------------------------------------------------

Answer:

So our answer is {{{x=11}}}