Question

Solve for x if the equation is 2/5(x+1)=g,

Answer 1

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:
$x = \frac{5}{2} g - 1$

Answer 2

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