Sam solved a similar equation below. Is sams solution correct? Explain why or why not?

9x+1=7(3x-2)
9x+1=21x-14
-30x+1 =-14
-30x=-15
X=1/2

Respuesta :

No. Because he messed up when he add 21x to both sides. He should have subtracted 21 x from both sides to get: -12x+1=-14. Then subtract 1 to both sides to get: -12x=-15. Then divide -12 from both sides to get: x=-15/-12. x=1.25
The answer is incorrect.

9x+1=7(3x-2) (expand)
9x+1=21x-14 (subtract 21x from both sides)
-12x+1=-14 (subtract 1 from both sides)
-12x=-15 (Divide both sides by -12)
[tex] x=\frac{-15}{-12} [/tex] (Simplify)
[tex]x= \frac{5}{4} [/tex] (Answer)