SOLUTION: I don't understand how to do the problem: {{{x/4}}} = {{{2+(x-3)/3}}}.

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Question 987353: I don't understand how to do the problem: x%2F4 = 2%2B%28x-3%29%2F3.
Found 3 solutions by Boreal, ikleyn, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x/4=2+(x-3)/3
Multiply everything by 12 to clear the fractions.
(x/4)*12=3x
2*12=24
[(x-3)/3]*12=4(x-3)
;
3x=24+4x-12
-x=12
x= -12
;
Check
-12/4= -3
2+(-12-3)/3=2+(-5)= -3

Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.
You have an equation

x%2F4 = 2%2B%28x-3%29%2F3.

The common denominator of the ratios in the left and the right sides of the equation is  12.
Multiply both sides of the equation by the common denominator  12.  You will get

3x = 24 + 4*(x-3).

Now,  open parentheses in the right side:

3x = 24 + 4x - 12.

Collect common terms:

3x - 4x = 24 - 12,     or

-x = 12.

Multiply both sides by  -1.  You will get

x = -12.

Congratulations!  You just solved the equation.

Now check your solution.  Substitute the found value of  x = -12  into the left side of the original equation.  You will get

-12%2F4 = -3.

Next,  substitute  x = -12  into the right side of the original equation.  You will get

2%2B%28x-3%29%2F3 = 2+%2B%28-12-3%29%2F3 = 2+%2B+%28-15%29%2F3 = 2+%2B+%28-5%29 = 2-5 = -3.

Hence,  your solution is correct.

Good job!


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I don't understand how to do the problem: x%2F4 = 2%2B%28x-3%29%2F3.
============================
Step 1 is knowing what you want to do.
"do the problem" is not sufficient.
Plus, it's not a problem, it's an equation.
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If you want to solve for x, say, "Solve for x."