Question

For what value of x do the expressions 4x + 3 and -x - 2 the same value?

Answer 1

To solve the exercise, set both expressions equal and then solve for x, like this

`\begin{gathered} 4x+3=-x-2 \\ \text{ Subtract 3 from both sides of the equation} \\ 4x+3-3=-x-2-3 \\ 4x=-x-5 \\ \text{ Add x from both sides of the equation} \\ 4x+x=-x-5+x \\ 5x=-5 \\ \text{ Divide by 5 into both sides of the equation} \\ (5x)/(5)=(-5)/(5) \\ x=-1 \end{gathered}`

Therefore, the value of x that makes the given expressions have the same value is

`x=-1`

Checking

`\begin{gathered} 4x+3=-x-2 \\ 4(-1)+3=-(-1)-2 \\ -4+3=1-2 \\ -1=-1 \end{gathered}`