Respuesta :

Answer:

[tex] \frac{1}{2} (2x + 1) = 3[/tex]

[tex]x + \frac{1}{2} = 3[/tex]

[tex]x = 3 - \frac{1}{2} [/tex]

[tex]x = \frac{6 - 1}{2} [/tex]

[tex]x = \frac{5}{2} [/tex]

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

[tex]\frac{1}{2}(2x + 1)=3[/tex]   Multiply the reciprocal of 1/2 on both sides, which is 2/1 or 2

[tex]2(\frac{1}{2} )(2x+1)=2(3)[/tex]

2x + 1 = 6        Subtract 1 on both sides

2x + 1 - 1 = 6 - 1

2x = 5         Divide 2 on both sides to get "x" by itself

[tex]\frac{2x}{2} =\frac{5}{2}[/tex]

[tex]x=\frac{5}{2}[/tex]