Question

Which of the following is a solution to the equation 3/4x - 12 = -18?

4.5
-22.5
-40
-8

Answer 1

-8

Explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer 2

x = -8

Explanation:

`(3)/(4) x - 12 = - 18`

i) multiply both sides of equation with 4

`4((3)/(4) x - 12) = 4( - 18)`

`(4 * (3)/(4) x) + (4 * ( - 12)) = - 72`

`3x - 48 = - 72`

ii) move -48 to the right-hand side and change its sign

`3x = - 72 + 48`

iii) calculate the sum

`3x = - 24`

iv) divide both sides of equation with 3

`(3x)/(3) = ( - 24)/(3)`

`x = - 8`