=======================================================
Explanation:
Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?
If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.
Multiply both sides by 6 to get
(1/2)x - 1/3 = 5/6
6*[ (1/2)x - 1/3 ] = 6(5/6)
6*(1/2)x - 6*(1/3) = 6(5/6)
3x - 2 = 5
------------
At this point, the fractions are gone. We can now solve like so
3x-2 = 5
3x-2+2 = 5+2 ... adding 2 to both sides
3x = 7
3x/3 = 7/3 .... dividing both sides by 3
x = 7/3
Answer:
x=5/6
Step-by-step explanation:
12x−13=5612x-13=56
Combine 1212 and xx.
x2−13=56x2-13=56
Move all terms not containing xx to the right side of the equation.
Add 1313 to both sides of the equation.
x2=56+13x2=56+13
To write 1313 as a fraction with a common denominator, multiply by 2222.
x2=56+13⋅22x2=56+13⋅22
Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.
Multiply 1313 and 2222.
x2=56+23⋅2x2=56+23⋅2
Multiply 33 by 22.
x2=56+26x2=56+26
Combine the numerators over the common denominator.
x2=5+26x2=5+26
Add 55 and 22.
x2=76x2=76
Multiply both sides of the equation by 22.
2⋅x2=2⋅
