SOLUTION: Create an equation with a solution between -10 and -5. Include a full worked solution. Your work must include:  Distributive property  Two different fractions with differe

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Create an equation with a solution between -10 and -5. Include a full worked solution. Your work must include:  Distributive property  Two different fractions with differe      Log On


   

Question 1151262: Create an equation with a solution between -10 and -5. Include a full worked solution.
Your work must include:
 Distributive property
 Two different fractions with different denominators (not 1)
 Collecting like terms
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
8%2B%28x%2B6%29%2F15=-3%28x-4%29%2F5......use Distributive property for -3%28x-4%29%2F5=-%283x-12%29%2F5=-3x%2F5%2B12%2F5

8%2B%28x%2B6%29%2F15=-3x%2F5%2B12%2F5...........common denominator is 15
8%2B%28x%2B6%29%2F15=-3x%2F5%2B12%2F5....use Distributive property for %28x%2B6%29%2F15=1%2A%28x%2B6%29%2F15=x%2F15%2B6%2F15
120%2F15%2Bx%2F15%2B6%2F15=-9x%2F15%2B36%2F15..........since denominators same, numerators are same too, so we have

120%2Bx%2B6=-9x%2B36

120%2Bx%2B6%2B9x-36=0...............collect like terms

%28x%2B9x%29%2B%28120%2B6-36%29=0

10x%2B90=0

10x=-90

x=-9