Question

1/2 - 9/4x = -2/3 solve for x and simplify your answer as much as possible

Answer 1

Hello!

So, we are given the following to solve:

`(1)/(2)- (9)/(4)x=- (2)/(3)`

To solve this, subtract
`(1)/(2)` from both sides.

`(1)/(2) -(9)/(4)x- (1)/(2) =-(2)/(3) -(1)/(2)`

Simplify.

`-(9)/(4)x= -(7)/(6)`

Multiply both sides by 4.

`4(-(9)/(4)x)=4(-(7)/(6))`

Simplify.

`-9x=-(14)/(3)`

Divide both sides by -9.

`(-9x)/(-9)= (-14/3)/(-9)`

Finally, simplify.

`x=(14)/(27)`

Hope this helps!