Question

5/8 = 3/4b - 7/12
Solve for b.
Show step by step please.

Answer 1

5 = 3 b - 7 7
8 4 12 ← add 12 to both sides of the equation

29 = 3 b 3
24 4 ← divide both sides by 4 (or multiply its reciprocal)

29 = b
18

Answer 2

The value of the equation for b is
`(29)/(18)=b`.

Explanation:

Consider the provided equation.

`(5)/(8)=(3)/(4)b -(7)/(12)`

We need to solve the provided equation for b.

Add 7/12 from both side.

`(5)/(8)+(7)/(12)=(3)/(4)b -(7)/(12)+(7)/(12)`

`(5)/(8)+(7)/(12)=(3)/(4)b`

Multiply both the sides by 4.

`4* (5)/(8)+4* (7)/(12)=4* (3)/(4)b`

`(5)/(2)+(7)/(3)=3b`

`(15+14)/(6)=3b`

`(29)/(6)=3b`

Divide both the sides by 3.

`(29)/(18)=b`

Hence, the value of the equation for b is
`(29)/(18)=b`.