Question

Problem 12a) solve for x, 3(-2x +5) = 9(x-5), x=b) x = –27, x =

Answer 1

The given equation is

`3(-2x+5)=9(x-5)`

Dividing by 3 both sides, we get

`(3\mleft(-2x+5\mright))/(3)=(9\mleft(x-5\mright))/(3)`

`-2x+5=3(x-5)`

Multiplying 3 and (x-5) as follows.

`-2x+5=3* x-3*5`

`-2x+5=3x-15`

Adding 15 on both sides, we get

`-2x+5+15=3x-15+15`

`-2x+20=3x`

Adding 2x on both sides, we get

`-2x+20+2x=3x+2x`

`20=5x`

Dividing by 5, we get

`(20)/(5)=(5x)/(5)`
`4=x`

Hence the value of x is 4.