Answer:
x = 2
Explanation:
[tex]\sf \rightarrow (x+1)(x + 2) = x(x+7)-6[/tex]
distribute
[tex]\sf \rightarrow x^2 + 2x + x + 2 = x^2 + 7x - 6[/tex]
simplify
[tex]\sf \rightarrow x^2 + 3x + 2 = x^2 + 7x - 6[/tex]
isolate x coefficient's to the left side and integers to the right side
[tex]\sf \rightarrow x^2 + 3x -x^2-7x = - 6-2[/tex]
collect similar terms
[tex]\sf \rightarrow x^2 -x^2+ 3x-7x = - 6-2[/tex]
simplify
[tex]\sf \rightarrow -4x = - 8[/tex]
divide both sides by -4
[tex]\sf \rightarrow \dfrac{-4x}{-4} = \dfrac{- 8}{-4}[/tex]
simplify
[tex]\sf \rightarrow x = 2[/tex]
