2x/(x+2)=5-(4/(x+2))

Solution for 2x/(x+2)=5-(4/(x+2)) equation:

2x/(x+2)=5-(4/(x+2))

We move all terms to the left:

2x/(x+2)-(5-(4/(x+2)))=0


Domain of the equation: (x+2)!=0

We move all terms containing x to the left, all other terms to the right

x!=-2

x∈R



Domain of the equation: (x+2)))!=0

x∈R


We calculate fractions


6x^2/((x+2)*(x+2))))+(-(-(4*(x+7))/((x+2)*(x+2))))=0


We calculate terms in parentheses: -(4*(x+7))/((x+2)*(x+2)))), so:

4*(x+7))/((x+2)*(x+2)))

We multiply all the terms by the denominator


4*(x+7))

We multiply parentheses

4x+

We add all the numbers together, and all the variables

4x

Back to the equation:

-(4x)


We multiply all the terms by the denominator


6x^2-4x*((x+2)*(x+2))))+(-(=0