Question

`2x + (5)/(8) = 3x - (5)/(8)`

Answer 1

hi <3

add 5/8 to both sides

2x + 10/8 = 3x

subtract 2x from both sides to get your answer of:

x = 10/8

hope this helps :)

Answer 2

`x=(5)/(4)`

Explanation:

`2x+(5)/(8)=3x-(5)/(8)`

Subtract 5/8 from both sides:-

`2x+(5)/(8)-(5)/(8)=3x-(5)/(8)-(5)/(8)`

`2x+(5)/(8)-(5)/(8)`

Add like terms:-

• 
  `(5)/(8)-(5)/(8)=0`

• 
  `=2x`

`3x-(5)/(8)-(5)/(8)`

Rule:-
`(a)/(c) \pm (b)/(c)=(a \pm b)/(c)`

• 
  `(-5-5)/(8)`

Subtract,
`-5-5=-10`

• 
  `=(-10)/(8)`

Cancel common factor: 2

• 
  `=-(5)/(4)`

• 
  `=3x-(5)/(4)`

---------------

`2x=3x-(5)/(4)`

Now, subtract 3x from both sides:-

`2x-3x=3x-(5)/(4)-3x`

`-x=-(5)/(4)`

Divide both sides by -1:-

`(-x)/(-1)=(-(5)/(4))/(-1)`

`x=(5)/(4)`

OAmalOHopeO