6x+4+11x/3+11x/3=360

Question

how do i solve it i dont understand with the 11x/3 parts

 

Answer 1

11x/3 is equivalent to (11/3)x.

Rewrite the terms like this and put all the terms together that have an x in them:

6x + (11/3)x + (11/3)x + 4 = 360

Add all the x terms together:

(6 + 11/3 + 11/3)(x) + 4 = 360

(40/3)(x) + 4 = 360

Subtract 4 from both sides:

(40/3)(x) = 356

Multiply both sides by (3/40), the reciprocal of the coefficient in front of the x:

(3/40)(40/3)(x) = (356)(3/40)

Simplify and you end up with:

x = 26.7

Answer 2

The key to this problem is using PEMDAS, the acronym used for order of operations, to rearrange the problem in a way where we can understand what "x" terms we actually have access to. Since multiplication and division take priority, in other words we address them first, over addition and subtraction, we want to look at the "11x/3" terms first. 11x/3 is equal to 11/3 * x, where the * represents multiplication. So the two "11x/3" terms become (11/3)x because of this. We can then add the two (11/3)x terms to get (22/3)x through addition of fractions and like terms, since all x terms are added together. Adding the 6x and (22/3)x together requires us to rewrite the 6x as (18/3)x in order to provide a common denominator. Thus we end up with (40/3)x. Our new equation becomes (40/3)x + 4 = 360. Subtracting 4 on both sides gives us (40/3)x = 356, and then multiplying both sides by 3/40 to eliminate the fraction in front of the x gives us x = 26.7, our solution.

Answer 3

6x + 4 + 11x/3 + 11x/3 = 360

Unless you enjoy calculating fractions, I recommend you eliminate the fractions by multiplying by the greatest common factor (GCF).  In this case the GCF is 3, because it is the only denominator.  To keep the equation balanced while multiplying by the GCF, you need to multiply both sides of the equation by the GCF:

3(6x + 4 + 11x/3 + 11x/3) = 3(360)

To multiply the left side of the equation, use distributive property so each term is multiplied by 3:

3(6x) + 3(4) + 3(11x/3) + 3(11x/3) = 3(360)

When multiplying 3(11x/3), the GCF cancels out the denominator because 3/3 =1 so after multiplying each term you have:

18x + 12 + 11x + 11x = 1080

Combine like terms so you have:

40x + 12 = 1080

Now doing simple algebra:

40x + 12 = 1080

       -12         -12

     40x  =   1068

       40        40

          x  =  26  28/40  =  26  7/10 = 26.7