Question 118640
{{{x+x+1+x+2=12}}} Start with the given equation




{{{3x+3=12}}} Combine like terms on the left side



{{{3x=12-3}}}Subtract 3 from both sides



{{{3x=9}}} Combine like terms on the right side



{{{x=(9)/(3)}}} Divide both sides by 3 to isolate x




{{{x=3}}} Divide


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Answer:

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





Now let's find the length of {{{x+1}}}:



{{{x+1}}} Start with the given expression


{{{3+1}}} Plug in {{{x=3}}}



{{{4}}} Add


So {{{x+1=4}}}




Now let's find the length of {{{x+2}}}:


{{{x+2}}} Start with the given expression


{{{3+2}}} Plug in {{{x=3}}}



{{{5}}} Add


So {{{x+2=5}}}




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So the three lengths are 3,4, and 5




Check:


notice if we add 3, 4, and 5 we get:


3+4+5=12


So this verifies our answer.