Given the equation:
$$\frac{341}{500} = - \frac{2 \left(x + 2\right)}{\frac{3}{8} \cdot \frac{157}{50} \cdot 4 \left(x - 1\right)} + 1$$
Multiply the equation sides by the denominator -1 + x
we get:
$$\frac{341 x}{500} - \frac{341}{500} = \frac{271 x}{471} - \frac{871}{471}$$
Move free summands (without x)
from left part to right part, we given:
$$\frac{341 x}{500} = \frac{271 x}{471} - \frac{274889}{235500}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{25111 x}{235500} = - \frac{274889}{235500}$$
Divide both parts of the equation by 25111/235500
x = -274889/235500 / (25111/235500)
We get the answer: x = -274889/25111