To solve the equation, let's first simplify the left side. We can do this by distributing the fraction `\frac{2}{5}` to each term inside the parentheses:
`\frac{2}{5}(x+1) = \frac{2}{5} \cdot x + \frac{2}{5} \cdot 1 = \frac{2x}{5} + \frac{2}{5}`
So the equation becomes:
\frac{2x}{5} + \frac{2}{5} = g
To isolate the variable `x`, we can subtract `\frac{2}{5}` from both sides of the equation:
\frac{2x}{5} = g - \frac{2}{5}
Next, we want to get rid of the fraction on the left side. We can multiply the entire equation by the reciprocal of `\frac{2}{5}`, which is `\frac{5}{2}`:
\frac{5}{2} \cdot \frac{2x}{5} = \frac{5}{2} \cdot \left(g - \frac{2}{5}\right)
The fraction on the left side cancels out, and we are left with:
x = \frac{5}{2} \cdot \left(g - \frac{2}{5}\right)
Multiplying through, we have:
x = \frac{5}{2} \cdot g - \frac{5}{2} \cdot \frac{2}{5}
Simplifying further, we get:
x = \frac{5}{2} \cdot g - 1
Therefore, the solution for `x` is:
x = \frac{5}{2} \cdot g - 1
Solve the equation for `x`:
`\frac{2}{5}\left(x+1\right)=g`
1 answer
1 answer