answer:
[tex]\sf x = \frac{2}{7}[/tex]
solving steps:
[tex]\hookrightarrow \sf 7(2x+\frac{1}{7} )=14(3x-0.5)[/tex]
[tex]\hookrightarrow \sf 7(2x)+7(\frac{1}{7} )=14(3x)-14(0.5)[/tex]
[tex]\hookrightarrow \sf 14x + 1 = 42x - 7[/tex]
[tex]\hookrightarrow \sf 14x -42x = - 7-1[/tex]
[tex]\hookrightarrow \sf -28x = -8[/tex]
[tex]\hookrightarrow \sf x = \frac{-8}{-28}[/tex]
[tex]\hookrightarrow \sf x = \frac{2}{7}[/tex]
