(3x-7)/(4x+9)=7

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Solution for (3x-7)/(4x+9)=7 equation:



(3x-7)/(4x+9)=7
We move all terms to the left:
(3x-7)/(4x+9)-(7)=0
Domain of the equation: (4x+9)!=0
We move all terms containing x to the left, all other terms to the right
4x!=-9
x!=-9/4
x!=-2+1/4
x∈R
We multiply all the terms by the denominator
(3x-7)-7*(4x+9)=0
We multiply parentheses
(3x-7)-28x-63=0
We get rid of parentheses
3x-28x-7-63=0
We add all the numbers together, and all the variables
-25x-70=0
We move all terms containing x to the left, all other terms to the right
-25x=70
x=70/-25
x=-2+4/5

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