Question 112940


{{{(3x-1)/4+2=6}}} Start with the given equation




{{{(4)((3x-1)/4+2)=(4)(6)}}} Multiply both sides by the LCM of 4. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{1(3x-1)+8=24}}} Distribute and multiply the LCM to each side




{{{3x-1+8=24}}} Distribute



{{{3x+7=24}}} Combine like terms on the left side



{{{3x=24-7}}}Subtract 7 from both sides



{{{3x=17}}} Combine like terms on the right side



{{{x=(17)/(3)}}} Divide both sides by 3 to isolate x




{{{x=17/3}}} Reduce


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Answer:

So our answer is {{{x=17/3}}}  (which is approximately {{{x=5.66666666666667}}} in decimal form)