Question

What is the value of x in the equation 3/4x+4=5/8

Answer 1

Lets get started :)

`(3)/(4)`x + 4 =
`(5)/(8)`
We subtract 4 on each side


`(3)/(4)x + 4 ( - 4 ) = (5)/(8) (- 4 )`
+ 4 and - 4 cancels out


`(3)/(4) x = (5)/(8) - 4`
Here, we face a little problem
We need to change 4 into a fraction with same denominator in order to perform subtraction
the denominator of 4 is 1 and 1 x 8 = 8, so we multiply numerator and denominator by 8


`(3)/(4)x = (5)/(8) - (4x8)/(1x8)`


`(3)/(4) x = (5)/(8) - (32)/(8)`


`(3)/(4)x = - (27)/(8)`
And now we divide either sides by
`(3)/(4)` to find the value of x
(Dividing by a fraction also means multiplying by its reciprocal)


`(3)/(4)x` ÷
`(3)/(4)` =
`- (27)/(8)` ÷
`(3)/(4)`

x =
`-(9)/(2)`

Answer 2

`(3x)/(4) +4= (5)/(8)`
Multiply both sides by 8.
2(3x) + 8(4)= 5
6x+32=5
Subtract 32 from both sides
6x=-27
Divide both sides by 6.
x=-27/6
Simplify
x=-9/2

Answer: x=-9/2