Respuesta :

[tex]\dfrac{2}{5}(x+1)=g\ \ \ |multiply\ both\ sides\ by\ \dfrac{5}{2}\\\\x+1=\dfrac{5}{2}g\ \ \ |subtract\ 1\ from\ both\ sides\\\\\boxed{x=\frac{5}{2}g-1}\to\boxed{x=\frac{5g-2}{2}}[/tex]
In order to get x, one needs to simply rearrange the whole equation to solve for x.
[tex] \frac{2}{5}(x+1)=g [/tex]

Multiply the two sides of the equation by 5/2.
[tex] \frac{5}{2} [\frac{2}{5} (x+1)=g][/tex]

Distributing the 5/2 and simplifying, the resulting equation would be:
[tex] \frac{10}{10} (x +1)= \frac{5}{2}g [/tex]
[tex](x +1)= \frac{5}{2}g [/tex]


Simplifying the equation and subtracting 1 from each side of the equation the final equation for solving x is:
[tex]x = \frac{5}{2} g - 1[/tex]