For this case we have the following equation:
[tex]\frac{2}{3}x-\frac{1}{3} = 2 (x + 2)[/tex]
Resolving we have the following steps:
[tex]\frac{2}{3}x-\frac{1}{3} = 2 (x + 2)[/tex]----> Given equation
[tex]2x-1 = 6 (x + 2)[/tex] ----> Multiplication Property of equality: Multiply by 3 both sides of the equation
[tex]2x-1 = 6x + 12[/tex]----> Distributive property: You solve the operation of the factor with the elements of parentheses
[tex]2x = 6x + 13[/tex]----> Property addition of equality: Because it adds 1 to both sides of equality.
[tex]-4x = 13[/tex]----> Substraction Property of equality: Subtract 6x on both sides of equality
[tex]x =-\frac{13}{4}[/tex] ----> Division Property of equality: You divide both sides of the equality between -4.
Answer:
The second step is incorrect.
