Question 76843
4(5-2b)+3(2b-10)=7(b+2)
breakdown: 20-8b+6b-30=7b+14
           14b+50=7b+14  <---here are your mistakes -8b+6b=-2b not 14b. 20-30=-10
            -7b   -7b
           7b+50=14
             -50 -50
              7b/7=-36/7 
:
{{{4(5-2b)+3(2b-10)=7(b+2)}}}
{{{20-8b+6b-30=7b+14}}}
{{{-2b-10=7b+14}}}
{{{-2b+2b-10=7b+2b+14}}}
{{{-10=9b+14}}}
{{{-10-14=9b+14-14}}}
{{{-24=9b}}}
{{{-24/9=9b/9}}}
{{{-8/3=b}}}
{{{highlight(b=-8/3)}}}
:
Check by letting b=-8/3 and see if the sides equal
{{{4(5-2(-8/3))+3(2(-8/3)-10)=7(-8/3+2)}}}
{{{4(5(3/3)+16/3)+3(-16/3-10(3/3))=7(-8/3+2(3/3))}}}
{{{4(15/3+16/3)+3(-16/3-30/3)=7(-8/3+6/3)}}}
{{{4(31/3)+3(-46/3)=7(-2/3)}}}
{{{124/3-138/3=-14/3}}}
{{{-14/3=-14/3}}}  We're right!!!
Happy Calculating!!!