Question 211520
{{{0.7(3x+6)=1.1-(x+2)}}} Start with the given equation.



{{{2.1x+4.2=1.1-x-2}}} Distribute



{{{10(2.1x+4.2)=10(1.1-x-2)}}} Multiply both sides by 10 to clear out the decimals.



{{{21x+42=11-10x-20}}} Distribute and multiply.



{{{21x+42=-10x-9}}} Combine like terms on the right side.



{{{21x=-10x-9-42}}} Subtract {{{42}}} from both sides.



{{{21x+10x=-9-42}}} Add {{{10x}}} to both sides.



{{{31x=-9-42}}} Combine like terms on the left side.



{{{31x=-51}}} Combine like terms on the right side.



{{{x=(-51)/(31)}}} Divide both sides by {{{31}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-51/31}}} which approximates to {{{x=-1.645}}}.