(x+4)/(2x+1)+(x-3)/(4x-9)=1

Simple and best practice solution for (x+4)/(2x+1)+(x-3)/(4x-9)=1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x+4)/(2x+1)+(x-3)/(4x-9)=1 equation: 



(x+4)/(2x+1)+(x-3)/(4x-9)=1

We move all terms to the left:

(x+4)/(2x+1)+(x-3)/(4x-9)-(1)=0



Domain of the equation: (2x+1)!=0

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

2x!=-1

x!=-1/2

x!=-1/2

x∈R





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 calculate fractions


((x+4)*(4x-9))/((2x+1)*(4x-9))+((x-3)*(2x+1))/((2x+1)*(4x-9))-1=0



We calculate terms in parentheses: +((x+4)*(4x-9))/((2x+1)*(4x-9)), so:

(x+4)*(4x-9))/((2x+1)*(4x-9)

We multiply all the terms by the denominator


(x+4)*(4x-9))

Back to the equation:

+((x+4)*(4x-9)))





We calculate terms in parentheses: +((x-3)*(2x+1))/((2x+1)*(4x-9)), so:

(x-3)*(2x+1))/((2x+1)*(4x-9)

We multiply all the terms by the denominator


(x-3)*(2x+1))

Back to the equation:

+((x-3)*(2x+1)))

See similar equations:

| -9(1=10n)=2(3n+9)= | | -7+z=21 | | a1=0+(20=1)2/3 | | (-1/4)^(x-1)=1/4096 | | P(2h)=1/8 | | P(2h)=1/2 | | P(2h)=1/4 | | 3375=x*x*2*x*4 | | )5(x-2)=3(x+4) | | 4x-5°=3x+15° | | (2t+3)/7=4 | | 3m/7+5=37 | | 69*420=x | | 3z^2-7z=5z+8 | | 2,4,a,5,3=6 | | 220,5=x*4,5*x | | x100=6.4 | | 500+500(0.05)=x | | X÷2+X÷4+x÷5+10,000=x | | 3.x=132 | | X÷2+x÷4+x÷5+10000=x | | 11x-1=34 | | P-(p-1)/2=1-(p-2)/3 | | 2x+15=29-5x | | (x+3)(x-3)=x^2-9 | | –4x–35=41 | | H=90+15t-5t² | | 3x(-5)=2x7= | | 2.8=x+5 | | 1/4x-2/3=3/4-1/2x | | 64x-60=5x-355 | | -3(4+x)=-4+2(3x+5) |

Equations solver categories