solve:
3/4x + 2/5 - x =3/10
To solve the given equation, let's start by rearranging the terms:
3/4x - x + 2/5 = 3/10
To combine similar terms, subtract x from 3/4x:
-1/4x + 2/5 = 3/10
To merge the fractions, convert the denominators to a common denominator:
-5/20x + 8/20 = 6/20
Now, the denominators are equal and we can combine the fractions:
-5/20x + 8/20 = 6/20
To simplify further, add the fractions:
(8 - 5)/20x = 6/20
3/20x = 6/20
Next, we isolate x by multiplying both sides of the equation by the reciprocal of the fraction 3/20:
(3/20x)(20/3) = (6/20)(20/3)
This simplifies to:
x = 60/60
x = 1
Therefore, the solution to the equation is x = 1.