Question

Select the graph of the solution set that would represent the following expression. 3(x - 2) = 5 (x + 1)

Answer 1

The solution set is
`x=-(11)/(2)`

Explanation:

The given expression is
`3(x-2)=5(x+1)`

Multiplying the terms, we get,

`3x-6=5x+5`

Subtracting 3x from both sides of the equation,

`-6=2x+5`

Subtracting 5 from both sides of the equation,

`-11=2x`

Dividing both sides by 2, we get,

`-(11)/(2) =x`

Thus, the solution set is
`x=-(11)/(2)`

The graph the solution set
`x=-(11)/(2)` is to plot this value in the number line.

The graph for the solution set
`x=-(11)/(2)` is attached below: