Question

-4 (x +5 ) = 5/3 (3x -12)

Answer 1

x = 0

Explanation:

The idea of this equation is to isolate X. But first we have to make all the operations that we can resolve before resolving it.

The first step is to resolve the multiplications. In this case we use distributive property, multiplying each term by the other one.

`-4 . (x+5) = -4x -20`

We do the same on the other side of the equation:

`(5)/(3) . (3x-12) = 5x - 20`

Then we have:

`-4x - 20 = 5x - 20`

All the factors that contain X go to the left and the ones that don't have it to the right:

`-4 x -5x = -20+20\\-9x = 0\\x = 0: (-9)\\x= 0`