SOLUTION: If i take the equation x/3+x/5+x/6+x/4+6=x and simplify it to the point that i have 19x/20+6=x how would i go about solving this the rest of the way? I used the calculator and it g

Question 498987: If i take the equation x/3+x/5+x/6+x/4+6=x and simplify it to the point that i have 19x/20+6=x how would i go about solving this the rest of the way? I used the calculator and it gave me the answer but i didn't understand what to do after this point.
Found 2 solutions by chessace, Theo:
Answer by chessace(471) (Show Source): You can put this solution on YOUR website!
Multiply all terms by 20.
19x+120=20x
x=120

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your equation is x/3 + x/4 + x/5 + x/6 + 6 = x
i used a common denominator of 120 to get:
40x/120 + 30x/120 + 24x/120 + 20x/120 + 6 = x
combining like terms gets:
114x/120 + 6 = x
simplifying gets:
19x/20 + 6 = x
this is where you're currently at.
subtract 19x/20 from both sides of the equation to get:
6 = x - 19x/20
x is equivalent to 20x/20 so your equation becomes:
6 = 20x/20 - 19x/20
combine like terms to get:
6 = (20x-19x)/20 which becomes:
6 = x/20
multiply both sides of the equation by 20 to gtet:
x = 120.
substitute for x in your original equation to get:
original equation equals:
x/3+x/5+x/6+x/4+6=x
after substitution equation becomes:
120/3 + 120/5 + 120/6 + 120/4 + 6 = 120
simplify to get:
40 + 24 + 20 + 30 + 6 = 120
simplify further to get:
120 = 120
this confirms that the value of x is good.

RELATED QUESTIONS
I dont understand how to solve this problem: Original Equation: [(x)/(x-3)] -... (answered by richwmiller)
Find the coefficient of x^6 in (1+x)^15. How would I go about... (answered by richard1234)
Find all solutions to the equation 6x^6-19x^5-47x^4+146x^3-150x^2-20x+48=0 I got x=4,... (answered by MathLover1)
Hi! How do I simplify the following: (x^-4+y^-2)/(x^-6+y^-4) ? The automatic (answered by LinnW)
Find the equation of a degree 4 polynomial with zeros x=5, x=−6, and x=1+i. It passes... (answered by ikleyn)
I have an unsimplified equation and need to simplify it then solve for x: {{{(... (answered by josgarithmetic,Alan3354)
I need help with this question, I'll give the exact question. Question: Given that... (answered by stanbon)
Hi i'm trying to work on my assignments again.I'm trying to find out if I did the right... (answered by stanbon)
Perform the indicated operation. Simplify if possible 5x / x^2+6 MINUS 20 /... (answered by KMST)