Math Problem?

Question

(5/2)x + (4/6)x = x - 5/3

Im having a hard time figuring this problem out, im not sure how to start the problem. Can someone help me step by step??

Answer 1

I'd multiply everything to make it all whole numbers, so multiply everything times 6:

15x + 4x = 6x - 10

then combine x terms, and your all set

13x = -10

x = -10/13

sorry if my calculations are wrong, but that's the general idea

Answer 2

First, find the LCD for all the terms, which is 6.

Set all terms to the same denominator:
5/2x + 4/6x = x - 10/6
15/6x + 4/6x = 6/6x - 10/6

Now, since all terms have the same denominator, you simply multiply everything by 6, thus leaving only the numerator.
15x + 4x = 6x - 10

Now get your x values on the left, and constants on the right:
15x + 4x - 6x = -10

Simplify:
13x = -10

Divide both sides by 13:
13x /13 = -10/13

Answer x = (-10/13) or (-0.769231)
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** Always plug your answer into the original equation and check:
[(5/2) * (-10/13)] + [(4/6)(-10/13)] = (-10/13) - (5/3) ??
[-50/26] + [-20/39] = (-10/13) - (5/3) ??
[-75/39] - [20/39] = (-30/39) - (65/39) ??
-95/39 = -95/39 <== Checks!

[Let's take (#6) jlaniwan's answer of 1 1/2, converted to 3/2]
[(5/2) * (3/2)] + [(4/6) * (3/2)] = (3/2) - (5/3) ??
[15/2] + [36/12] = (3/2) - (5/3) ??
[90/12] + [36/12] = (9/6) - (10/6) ??
[126/12] = (-1/6) ??
10.5 = -1/6 <== Does NOT check.

Hope this helps. Good luck.

Answer 3

Start by putting all of the x on one side of the equals (basically subtract x from both sides of the equation)
this gives you
(5/2)x + (4/6)x - x = -5/3
Then you have to do something called factoring out an x.
Factoring out an x is when you take ONE side of an equation and multiply by x and divide by x at the same time.
If you do that, you equation looks like this (think of the brackets just like parenthesis):
x * [ (5/2)x/x + (4/6)x/x - x/x ] = -5/3
If you actually go and multiply that out, you'll see that nothing has changed, but the x inside the brackets can cancel out. If you cancel those out, you get
x * [ 5/2 + 4/6 -1 ] = -5/3
do the stuff inside the brackets
x * 13/6 = -5/3
divide both sides by 13/6
x = -30/39
which can be simplified to
x = -10/13

Answer 4

x = 1 1/2

Answer 5

I dunno what answer they give to you. Hopefully I can help.
(5/2)x +(4/6)x = x - (5/3)
then, move all things with x at the left side and the rest at the right.
You will have:
(5/2)x + (4/6)x - x = -(5/3)
then solve both left and right side:
you will have
(13/6)x = -(5/3)
then, you can simply solve this equation:
x = -10/3
you can ask me directly via email if you have to do that.
btw, may I know how old are you?

Answer 6

5/2x + 4/6x = x - 5/3
15/6x + 4/6x = x - 5/3
19/6x = x - 5/3
19/6x - x = 5/3
13/6x = 5/3
x = 5/3 times 6/13
x = 10/13

Answer 7

You should ask your teacher to explain the process of reducing fractions to their lowest common denominator. When you know how to do that, it is just a matter of addition and subtraction.

I think I deserve 1.5 points for this answer.

Answer 8

I see only two correct answers so far.
jlaniwan gave only the answer
tucker gave hints how to do it and the answer.

All the others are wrong and better recheck their work.

Answer 9

start off with anything in( ) (5/2)x + (4/6)x =x - 5/3
(2.5)x + (1.5)x = x - 5/3
then you do / or * (2.5)x + (1.5)x = x -1.67
then you do + or - (2.5)x + (1.5)x=(4)x
the answer is (4)x = x - 1.67

Answer 10

You must have made a mistake, this equation doesn't balance and is impossible to solve.