SOLUTION: solve for the indicated variable: (x-2y+xz)/(x-z)=4y SOLVE FOR X can you give me a step by step guide to solving this, because i am completely lost

Algebra ->  Expressions-with-variables -> SOLUTION: solve for the indicated variable: (x-2y+xz)/(x-z)=4y SOLVE FOR X can you give me a step by step guide to solving this, because i am completely lost      Log On


   

Question 125647: solve for the indicated variable: (x-2y+xz)/(x-z)=4y SOLVE FOR X can you give me a step by step guide to solving this, because i am completely lost
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2y%2Bxz%29%2F%28x-z%29=4y+ Start with the given equation


x-2y%2Bxz=4y%28x-z%29+ Multiply both sides by x-z



x-2y%2Bxz=4xy-4yz+ Distribute



x-2y%2Bxz-4xy=-4yz+ Subtract 4xy from both sides


x%2Bxz-4xy=-4yz%2B2y+ Add 2y to both sides


x%281%2Bz-4y%29=-4yz%2B2y+ Factor out the GCF x from the left side


x=%28-4yz%2B2y%29%2F%281%2Bz-4y%29 Divide both sides by 1%2Bz-4y to isolate x