`1,2xx([2,4xx x-0,21]/x-0,5)=1,44`
`[2,4xx x-0,21]/x-0,5=1,44:1,2=1,2`
`[2,4xx x-0,21]/x=1,2+0,5=1,7`
`2,4xx x-0,21=1,7xx x`
`2,4xx x-1,7xx x=0,21`
`(2,4-1,7)xx x=0,21`
`0,7xx x=0,21`
`x=0,21:0,7=0,3`
`=> (2,4 xx x - 0,21)/x - 1/2 = 1,2`
`=> (2,4 xx x - 0,21)/x = 1,7`
`=> 2,4 xx x - 0,21 = 1,7x`
`=> 0,7 xx x = 0,21`
`=> x = 0,3`
\(1,2\times\left(\dfrac{2,4\times x-0,21}{x}-0,5\right)=1,44\\ \dfrac{2,4x-0,21}{x}-0,5=1,44:1,2=1,2\\ \dfrac{2,4x-0,21}{x}=1,2+0,5=1,7\\ 2,4x-0,21=1,7x\\ 2,4x-1,7x=0,21\\ 0,7x=0,21\\ x=0,21:0,7=0,3\)
<=>
\(\dfrac{6}{5}\times\left(\dfrac{2,4x-0,21}{x}-\dfrac{1}{2}\right)=1,44\)
=>
\(\dfrac{2,4x-0,21}{x}=1,44:\dfrac{6}{5}+\dfrac{1}{2}=\dfrac{17}{10}\)
<=>
\(17x=10\left(2,4x-0,21\right)\)
<=>
\(17x=24x-\dfrac{21}{10}\)
<=>
17x - 24x + 21/10 = 0
<=>
-7x = -21/10
=> x = -21/10 : -7 = 3/10
\(=>\dfrac{1,2x2,4xX-1,2x0,5}{X}=1,44\\ < =>2,88xX-0,6=1,44xX\\ < =>2,88xX-1,44xX=0,6\\ < =>1,44xX=0,6\\ < =>X=0,6:1,44=\dfrac{5}{12}\)