Question

Cant figure it out. pls help

Answer 1

With cross multiplying you should get 6

Answer 2

$\longrightarrow{\green{x\:=\:6}}$ 

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

➝$\:\frac{3x + 2}{4} = \frac{x + 4}{2}$

➝$\: 2(3x + 2) = 4(x + 4)$

➝$\: 6x + 4 = 4x + 16$

➝$\: 6x - 4x = 16 - 4$

➝$\:2x = 12$

➝$\: x = \frac{12}{2}$

➝$\: x = 6$

Therefore, the value of $x$ is 6.

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

➪ $\: \frac{3x + 2}{4} = \frac{x + 4}{2}$

➪ $\:\frac{3 \times 6 + 2}{4} = \frac{6 + 4}{2}$

➪ $\:\frac{18 + 2}{4} = \frac{10}{2}$

➪ $\:\frac{20}{4} = 5$

➪ $\: 5 = 5$

➪ $\: L.H.S.=R. H. S$

Hence verified.

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}$