Question 147708
{{{1/(2 - x) + 4/(x + 7) = 6/(2 - x)}}}.  First get a common denominator, which is (x+7)(2-x).  Then multiply the fractions in order for them to have that denominator.  Your numerators should become {{{x+7}}}, {{{8-4x}}} and {{{6x+42}}}.  Set up the equation {{{x+7 + 8-4x= 6x+42}}}.  Then combine like terms and get {{{-3x+15=6x+42}}}.  Add 3x to both sides: {{{15=9x+42}}}. Subtract 42 from both sides: {{{-27=9x}}}.  Divide by 9: {{{-3=x}}}. You were right!