=>3(x-2)=4(x+5)
=>4x+20=3x-6
=>x=-26
\(\dfrac{x-2}{4}=\dfrac{5+x}{3}\\ =>3\times\left(x-2\right)=4\times\left(5+x\right)\\ =>3x-6=20+4x\\ =>3x-4x=20+6\\ =>-x=26\\ =>x=-26\)
`(x-2):4 = (5+x) :3`
`(x-2)*3 = 4*(5+x)`
`3x -6 = 20 +4x`
`3x -4x = 20 +6`
`-x =26`
`x=-26`
`(x-2):4 = (5+x) :3`
`(x-2)*3 = 4*(5+x)`
`3x -6 = 20 +4x`
`3x -4x = 20 +6`
`-x =26`
`x=26`
\(\left(x-2\right):4=\left(5+x\right):3\)
\(\Leftrightarrow\left(x-2\right).\dfrac{1}{4}=\left(5+x\right).\dfrac{1}{3}\)
\(\Leftrightarrow\dfrac{1}{4}x-\dfrac{1}{2}=\dfrac{1}{3}x+\dfrac{5}{3}\)
\(\Leftrightarrow\dfrac{1}{4}x-\dfrac{1}{3}x=\dfrac{5}{3}+\dfrac{1}{2}\)
\(\Leftrightarrow\dfrac{-1}{12}x=\dfrac{13}{6}\)
\(\Leftrightarrow x=\dfrac{13}{6}.\left(-12\right)\)
\(\Leftrightarrow x=-26\)