Verified Answer :

dalendrk

\(\dfrac{2}{5}(x+1)=g\ \ \ |multiply\ both\ sides\ by\ \dfrac{5}{2}\\\\x+1=\dfrac{5}{2}g\ \ \ |subtract\ 1\ from\ both\ sides\\\\\boxed{x=\frac{5}{2}g-1}\to\boxed{x=\frac{5g-2}{2}}\)

In order to get x, one needs to simply rearrange the whole equation to solve for x.
\(\frac{2}{5}(x+1)=g\)

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

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


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

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