Đáp án:

`\text{x = 100}`

Giải thích các bước giải:

$\text{$\dfrac{x-10}{30 }$ + $\dfrac{x-14}{43}$ + $\dfrac{x-5}{95}$ + $\dfrac{x-148}{8}$ = 0 }$

$\Rightarrow$ $\text{$\dfrac{x-10}{30}$ - 3 + $\dfrac{x-14}{43}$ - 2 + $\dfrac{x-5}{95}$ - 1 + $\dfrac{x-148}{8}$ + 6 = 0}$

$\Rightarrow$ $\text{$\dfrac{x-100}{30}$ + $\dfrac{x-100}{43}$ + $\dfrac{x-100}{95}$ + $\dfrac{x - 100}{8 }$ = 0}$

$\Rightarrow$ $\text{( x - 100 ). ( $\dfrac{1}{30}$ + $\dfrac{1}{43}$ + $\dfrac{1}{95 }$ + $\dfrac{1}{8}$ ) = 0}$

$\text{Mà $\dfrac{1}{30}$ + $\dfrac{1}{43}$ + $\dfrac{1}{95 }$ + $\dfrac{1}{8 }$ > 0}$

$\Rightarrow$ `\text{x - 100 = 0}`

$\Rightarrow$ $\text{ x = 100}$

$\text{Vậy x = 100}$