Just random

$\huge{\text{Subtract 19x from both sides of the equation. We get}}$

$\huge{21x-19x-14=24}$

$\huge{\text{Combine like terms. We get}}$

$\huge{2x-14=24}$

$\huge{\text{Add 14 to both sides of the equation. We get}}$

$\huge{2x=38}$

$\huge{\text{Divide both sides by 2. We get}}$

$\boxed{\color{#D61F06}\huge{x=19}}$

$21 \times x -14$ = $19 \times x +24$

or, $21 \times x - 19\times x$ = $24+14$

or, $2 \times x$ =38

or, x = $\frac{38}{2}$

or, x=19

$21x-14=19x+24$

$\Rightarrow 21x - 19x = 24 + 14$

$\Rightarrow 2x = 38$

Therefore $x = 19$

$\begin{matrix} 21x-14=19x+24\\ 21x-14+14=19x+24+14\\ 21x=19x+38\\ 21x-19x=19x+38-19x\\ 2x=38\\ \frac{2x}{2}=\frac{38}{2}\\ \mathbf{x=19} \end{matrix}$

21x-14=19x+24

21x-19x=24+14

2x=38

x=19