(3x-1)/6-(5-x)/4=5/6?

Question

The answer says it is 3 but I'm not getting that. Please help!
Thanks! :-)

(3X-1)/6-(5-X)/4=5/6

Answer 1

2.(3x - 1) - 3.(5 - x) = 10
6x - 2 - 15 + 3x = 10
9x = 27
x = 3

Answer 2

Multiply both sides by 12:
2(3x-1)-3(5-x)=10
6x-2-15+3x=10
9x-17=10
9x=27
x=3

Check:
(3(3)-1)/6-(5-3)/4=5/6
8/6-1/2=5/6
8/6-3/6=5/6
5/6=5/6

Answer 3

Hey, just to give a slightly different route.

first distribute the divisors within the parenteses, so you will have:
1/2(x)-1/6 -5/4 +1/4(x)=5/6
and then find a common denominator. I chose twelve.
6/12(x) -2/12 -15/12 +3/12x =10/12
then move the non-x-containing factors to the answer side so you have.
6/12(x) + 3/12(x) =27/12 or 9/12(x) =27/12
divide 27 by nine and you get three.

Answer 4

in all likelihood the question is, "what's x?" would not sound very equivalent to geometry to me, more effective like algebra, yet even with... a million/6 + 3x = 5/6 3x = 4/6 (subtract a million/6 from both part) x = (4/6) / 3 (divide both part by 3) x = 4/18 x = 2/9 (shrink)

Answer 5

Multiply all figures by 12

2(3x-1)-3(5-x)=10
6x-2-15+3x=10
9x-17=10
9x-17+17=10+17
9x=27
x=3

Answer 6

here's how u do it.

(3x-1)/6-(5-x)/4=5/6
multiply both sides by 12 to give

2(3x-1)-3(5-x)=10

6x-2-15+3x=10

9x-17=10

9x=27

x=3

therefor x = 3

Answer 7

multiply each side by 24. that will give you
(12x-4) - (30-6x) = 20
then,
12x-4 - 30 + 6x = 20
18x - 34 = 20
18x = 54
x = 3

Answer 8

Multiply each term by 24 and then solve.