Question 91737
Question:

solve for w: (4w/5)-2=(2w/3)+1


Answer:


 {{{(4w/5)-2=(2w/3)+1}}}


Add 2 to both sides.....



 {{{(4w/5)-2 + 2 =(2w/3)+1 + 2}}}


==> {{{(4w/5) =(2w/3)+3}}}


Subtract {{{(2w)/3}}} from both sides....


==> {{{(4w/5)-(2w)/3=(2w/3)+ 3 -(2w)/3}}}


==> {{{(4w/5)-(2w)/3= 3 }}}


Multiply throughout by 15...


==> {{{15* (4w/5)- 15* (2w/3) = 15 * 3 }}}


==> {{{3* 4w -  5*  2w  = 45 }}}


==> {{{ 12w - 10w = 45 }}}


==> {{{ 2w = 45}}}


Divide both sides by 2


==> {{{ (2w)/2 = 45/2 }}}


==> {{{ w = 27.5 }}}


Hope you found the explanation useful.


Regards.


Praseena.