Solve each equation for x a(3tx - 2b) = c(dx - 2)

Jerold 2020-11-02 Answered
Solve each equation for x a(3tx2b)=c(dx2)
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Expert Answer

Yusuf Keller
Answered 2020-11-03 Author has 90 answers
Use the Distributive Property:
a(3tx2b)=3atx2ab
and
c(dx2)=cdx2c
So, the equation becomes
3atx2ab=cdx2c
We want the collect all terms with x on the left side, so subtract cdx from both sides:
3atx2abcdx=2c
We want to collect all terms with x on the right side, so add 2ab to both sides:
3atxcdx=2ab2c
Use the Distribute Property:
3atxcdx=(3atcd)x,
hence
(3atcd)x=2ab2c
Divide both sides by 3atcd to obtain the solution:
x=2ab2c3atcd
The denominators must not be 0. So, we have one restriction:
3atcd0
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