Question

3/4 (x +21) = 10 1/2
What does x equal?

Answer 1

`\huge \boxed{ \boxed{ \red{x = - 7}}}`

Explanation:

to understand this

you need to know about:

• equation
• PEMDAS

let's solve:

1. 
   `\sf distribute : \\ (3 x+ 63)/(4) = 10(1)/(2)`
2. 
   `\sf simplify \: mixed \: fraction : \\ (3x + 63)/(4) = (21)/(2)`
3. 
   `\sf cross \: multipication : \\ 2(3x + 63) = 84`
4. 
   `\sf distribute \: 2 : \\ 6x + 126 = 84`
5. 
   `\sf cancel \: 126 \: from \: both \: sides : \\ 6x + 126 - 126 = 84 - 126 \\ 6x = - 42`
6. 
   `\sf divide \: both \: sides \: by \: 6 : \\ (6x)/(6) = ( - 42)/(6) \\ \bcancel{(6x)/(6) } = \frac{ \cancel{ - 42} \: ^( - 7) }{ \cancel{ \: 6}} \\ \therefore \: x = - 7`

Answer 2

Explanation:

Solution given;

`(3)/(4) (x + 21) = 10 (1)/(2 ) \\ 3x + 63 = (21)/(2) * 4 \\ 3x = 42 - 63 \\ x = ( - 21)/(3) \\ x = - 7`

:.x=-7 is your answer.