Question

Question :-

$solve - \\ \\ \frac{5x - 1}{4} - 2 = \frac{5x - 3}{8}$
​

Answer 1

Question :-

$Solve : - \\ \\ \frac{5x - 1}{4} - 2 = \frac{5x - 3}{8}$

Given :-

$\frac{5x - 1}{4} - 2 = \frac{5x - 3}{8}$

To Find :-

The value of x

Solution :-

$\frac{5x - 1}{4} - 2 = \frac{5x - 3}{8} \\ \\ \longrightarrow \: \frac{5x - 1}{4} - 2 = \frac{5x - 3}{8} \\ \\ \longrightarrow \: \frac{5x - 1}{4} - \frac{2}{1} = \frac{5x - 3}{8}$

LCM of 4, 1, 8 = 8

So, multiplying both sides of the equation by 8,

we get :

$8( \frac{5x - 1}{4} ) - 8(2) = 8( \frac{5x - 3}{8} ) \\ \\ \rightarrow \: 2(5x - 1) - 16 = 5x - 3 \\ \\ \rightarrow \: 10x - 2 - 16 = 5x - 3 \\ \\ \rightarrow \: 10x - 18 = 5x - 3 \\ \\ \rightarrow \: 10x - 5x = - 3 + 18 \\ \\ \rightarrow \: 5x = 15 \\ \\ \rightarrow \:x = 3$

Answer 2

$\huge \sf {\orange {\underline {\pink{\underline {❥︎quetion࿐ :−}}}}}$

$\begin{gathered}Solve : - \\ \\ \frac{5x - 1}{4} - 2 = \frac{5x - 3}{8}\end{gathered}$

${\huge{\pink{\underline{\underline{given♪～}}}}}$

$\frac{5x - 1}{4} - 2 = \frac{5x - 3}{8}$

$\huge \mathbb{ \red {★᭄ꦿ᭄S} \pink{ᴏ}\purple{ʟᴜ} \blue {ᴛ} \orange{ɪ} \green{ᴏɴ★᭄ꦿ᭄}}$

$\begin{gathered} \frac{5x - 1}{4} - 2 = \frac{5x - 3}{8} \\ \\ \longrightarrow \: \frac{5x - 1}{4} - 2 = \frac{5x - 3}{8} \\ \\ \longrightarrow \: \frac{5x - 1}{4} - \frac{2}{1} = \frac{5x - 3}{8} \end{gathered}$

$LCM \: of \: 4, \: 1, \: 8 \: = \\ 8 \\ </p><p>So, \: multiplying \: both \: sides \: of \: the \: equation \: by \: 8.$

$\begin{gathered}8( \frac{5x - 1}{4} ) - 8(2) = 8( \frac{5x - 3}{8} ) \\ \\ \rightarrow \: 2(5x - 1) - 16 = 5x - 3 \\ \\ \rightarrow \: 10x - 2 - 16 = 5x - 3 \\ \\ \rightarrow \: 10x - 18 = 5x - 3 \\ \\ \rightarrow \: 10x - 5x = - 3 + 18 \\ \\ \rightarrow \: 5x = 15 \\ \\ \rightarrow \:x = 3\end{gathered}$