Respuesta :
Yes, there was a mistake in applying the distributive property. If you have to perform
[tex] 3(2x-5) [/tex]
you have to multiply both terms in the parenthesis by 3, not just the first one.
So, the correct expansion would be
[tex] 3(2x-5) = 3\cdot 2x - 3 \cdot (-5) = 6x-15 [/tex]
she has not distributed - 5 by 3 = - 15
4x = 7 + 3(2x - 5) ( distribute by 3 )
4x = 7 + 6x - 15 ( subtract 6x from both sides )
4x - 6x = 7 - 15
- 2x = - 8 ( divide both sides by - 2 )
x = [tex]\frac{- 8}{- 2}[/tex] = 4
