Question

$4 \times upon8 + 12equalsto4x - 2 \|$
​

Answer 1

Correct Question :

$\dfrac {4}{8}$ + 12 = 4x - 2 .

Find the value of x

$\huge\underline\green {\tt Solution}$

Method : 1

$\dfrac {4}{8}$ + 12 = 4x - 2

➡ $\dfrac {4 + 96}{8}$ = 4x - 2

➡ $\dfrac {100}{8}$ = 4x - 2

➡ $\dfrac {100}{8}$ + 2 = 4x

➡ $\dfrac {100 + 16}{8}$ = 4x

➡ 116 = 4x × 8

➡ 116 = 32x

➡ $x = \dfrac{116}{32}$

•°• x = 3.625

Method : 2 ( cross multiplication )

$\dfrac {4}{8}$ + 12 = 4x - 2

➡ $\dfrac {4+96}{8}$ = 4x - 2

➡ $\dfrac {100}{8}$ = 4x - 2

➡ 100 = 8 ( 4x - 2 )

➡ 100 = 32x -16

➡ 100 + 16 = 32x

➡ 116 = 32x

➡ $x = \dfrac {116}{32}$

•°• x = 3.625

Therefore,

Value of x is 3.625

Answer 2

Question:

$\sf If \: \dfrac{4}{8}+12=4x-2 \: then\: find \: x$

Given:

$\dfrac{4}{8}+12=4x-2$

To find:

The value of x

Explanation:

$\longrightarrow \sf \: \dfrac{4}{8} + 12 = 4x - 2 \\ \\ \longrightarrow \sf\dfrac{ \cancel 4}{ \cancel 8}+12=4x-2 \\ \\ \longrightarrow \sf \dfrac{1}{2} + 12 = 4x - 2$

Taking LCM

$\longrightarrow \sf \dfrac{1 + 24}{2} = 4x - 2 \\ \\ \longrightarrow \sf 25 = 2(4x - 2) \\ \\ \longrightarrow \sf 8x - 4 = 25 \\ \\ \longrightarrow \sf 8x = 25 + 4 \\ \\ \longrightarrow \sf 8x = 29 \\ \\ \longrightarrow \boxed{ \sf x = \dfrac{29}{8} }$