Question

Given that q-5 is a solution of the equation 2(3+x)=3q-3+5x, find the value of q and of x.​

Answer 1

`q=4, x=-1`

Explanation:

The given equation is:

`2(3+x)=3q-3+5x---(1)`

Since
`x=q-5` is a solution of the equation above, so substitute x=q-5 into (1) as follows:

`2(3+q-5)=3q-3+5(q-5)\\2(q-2)=3q-3+5q-25\\2(q-2)=8q-28\\q-2=4q-14\\4q-q=-2+14\\3q=12\\q=4`

Then, it follows:

`x=q-5\\\therefore x=4-5=-1`