1/2(2x+5)=1/4(x-4)

Solution for 1/2(2x+5)=1/4(x-4) equation:

1/2(2x+5)=1/4(x-4)

We move all terms to the left:

1/2(2x+5)-(1/4(x-4))=0


Domain of the equation: 2(2x+5)!=0

x∈R



Domain of the equation: 4(x-4))!=0

x∈R


We calculate fractions


(4xx/(2(2x+5)*4(x-4)))+(-2x2/(2(2x+5)*4(x-4)))=0


We calculate terms in parentheses: +(4xx/(2(2x+5)*4(x-4))), so:

4xx/(2(2x+5)*4(x-4))

We multiply all the terms by the denominator


4xx

Back to the equation:

+(4xx)



We calculate terms in parentheses: +(-2x2/(2(2x+5)*4(x-4))), so:

-2x2/(2(2x+5)*4(x-4))

We multiply all the terms by the denominator


-2x2

We add all the numbers together, and all the variables

-2x^2

Back to the equation:

+(-2x^2)


We get rid of parentheses

-2x^2+4xx=0