Question 93219
{{{3(2w+1)-2(w-2)=5 }}}


{{{6w+3-2w+4=5 }}} Distribute (note when you distribute -2 to {{{w-2}}}, you get {{{-2w+4}}} since {{{-2(w-2)=-2*w--2*2=-2w+4}}}



{{{4w+3+4=5}}}  Combine the variable terms 6w and  -2w  on the left side to get 4w




{{{4w+7=5}}}  Combine the constant terms 3 and  4  on the left side to get 7




{{{4w=5-7}}} Subtract 7 from both sides





{{{4 w=-2}}} Combine like terms -7 and 5 on the right side to get -2






{{{w=(-2)/(4)}}} Now divide both sides by  4 to isolate and solve for w



{{{w= -1 / 2}}} Reduce




So the approximate answer is


{{{w=-0.5}}}