Question

1 over 3(12 plus x) equal 8(6-x)

Answer 1

`x=(132)/(25)`

Explanation:

We have to solve for the value of "x". The equation is:

`(1)/(3)(12+x)=8(6-x)`

We can use the distributive property shown below to simplify the expression and find the value of x.

Distributive property:
`a(b+c)=ab+ac`

Now, we solve:

`(1)/(3)(12+x)=8(6-x)\\4+(1)/(3)x=48-8x\\(1)/(3)x+8x=48-4\\8(1)/(3)x=44\\(25)/(3)x=44\\x=(44)/((25)/(3))\\x=44*(3)/(25)\\x=(132)/(25)`

This is the improper fractional value of "x". So,

`x=(132)/(25)`