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Given that,

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

cancelling 4 from both sides,

x-9 = 9 + 1/3x

x - 1/3x = 9 + 9

x(1 - 1/3) = 18

x ((3-1)/3) = 18

x*2/3 = 18

x = (18*3)/2 = 54/2 = 27

Therefore, x = 27

Hi dxana,

Is this in relation to a graph solution or simple algebra?

Hii friends,

I am attaching herewith the answer of this question.

X-9 = 9+1/3X

3X-27= 27+1X

2X=54

X=27

Hope it will serve your purpose!

First you look at the question and observe it once or twice before actually doing something about it. We see that 4 is common on both the sides.

So we divide by 4 on both sides and 4 is cancelled. we are left with x-9=9+1/3x. we take 9 on the other side

x=9+9+1/3x

next we have x=18+1/3x

take least common factor of 3x and we get

x=(18*3x+1)/3x

we multiply 3x on both sides and we get

x*3x=54x+1

this gives us the quadratic equation :

3x^2 - 54x -1=0

where a=3, b=-54 and c=-1

giving 2 answers those are: 18.01 and -0.018

First off, you divide both sides by 4

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

=> x-9=9+1/3x

Then, you add 9 on both sides

=> x-9+9=9+9+1/3x

=> x=18+1/3x

Then, you substract 1/3x from both sides

=> x-1/3x=18+1/3x-1/3x

=> x-1/3x=18

Now, you solve the sum on the left side. If it is (1/3)*x, then

=> 3/3x-1/3x=18

=> 2/3x=18

Finally, divide both sides by 2/3

=> 2/3/(2/3)x=18/(2/3)

=> x=18*3/2

=> x=27

If it is 1/(3*x), it is a little more complicated;

At this point, you substract 18 from both sides:

=> x=18+1/3x

=> x-18=18-18+1/3x

=> x-18=1/3x

Then, you multiply both sides times "x"

=> (x-18)*x=(1/3x)*x

=> x^2-18*x=1/3

Then, you substract 1/3 from both sides

=> x^2-18*x-1/3=1/3-1/3

=> x^2-18*x-1/3=0

At this point, you should be able to apply the formula to solve quadratic equations: (-b+-SQRT(b^2-4*a*c))/(2*a), where a=1,b=-18 and c=-1/3

=>(-(-18)+-SQRT((-18)^2-4*1*(1/3)))/(2*1)

Then you solve both cases (+ and - SQRT), and you should have 2 answers

=>(-(-18)+SQRT((-18)^2-4*1*(1/3)))/(2*1)

=>(18+SQRT(324-4/3))/2

=>(18+SQRT((972-4)/3))/2

=>(18+SQRT(968/3))/2

(18+SQRT(968/3))/2

(18-SQRT(968/3))/2

hello peeps
I am attaching the solution of this question

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

=> x-9=9+x/3

=>2x/3=18

=>x=27

Hope it helps, All the best.

Is that 1/(3x) or (1/3)*x?