[tex]\longrightarrow{\green{ \: x = - 25 }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \frac{ - 2}{5} (x + 10) = 6[/tex]
➺ [tex] \: - 2 \: (x + 10) = 6 \times 5[/tex]
➺ [tex] \: - 2x - 20 = 30[/tex]
➺ [tex] \: - 2x = 30 + 20[/tex]
➺ [tex] \: - 2x = 50[/tex]
➺ [tex] \: x = \frac{50}{ - 2} [/tex]
➺ [tex] \: x = - 25[/tex]
Therefore, the value of [tex]x[/tex] is -25.
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \frac{ - 2}{5} ( - 25 + 10) = 6[/tex]
➺ [tex] \: \frac{ - 2( - 15)}{5} = 6[/tex]
➺ [tex] \: \frac{30}{5} = 6[/tex]
➺ [tex] \: 6 = 6[/tex]
➺ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
