Question

solve for x: 2/5 + 3/5x = x+5/10

the answers are:

x=-3

x=2

x=-3 and x=2

no solution


please i need help :/

Answer 1

Is that \[3/(5x)\] or \[(3/5) \times x\]
also:
\[(x + 5) / 10\] or \[x + (5/10)\]
??

Answer 2

X=-3 X=2

Answer 3

3/(5x)

Answer 4

-0.25

Answer 5

Well assuming you meant x + (5/10) on the right side:

You're trying to isolate for x:
(basically BEDMAS in reverse)

2/5 + 3/(5x) = x + 5/10

subtract 2/5 from each side:
3/(5x) = x + 5/10 - 2/5

subtract x from each side:
3/(5x) - x = 5/10 - 2/5

make a common denominator:
3/(5x) - x = 5/10 - 4/10
3/(5x) - x = 9/10

make another common denominator:
(3 - 5x)/(5x) = 9/10

cross-multiply:
(3 - 5x)(10) = (5x)(9)

expand:
30 - 50x = 45x

add 50x to both sides:
30 = 95x

divide both sides by 95:
x = 30/95

lol I got kinda carried away but I wanted to be verbose because I don't know your ability.