[tex]x+ \frac{x}{7} +(x+ \frac{x}{7} )=60[/tex]
Remove parentheses (a)= a
[tex]x+ \frac{x}{7} +x+ \frac{x}{7} [/tex]
Group like terms:
[tex]x+ \frac{x}{7} +x+x[/tex]
Add similar elements:
[tex] \frac{x}{7} + \frac{x}{7} =2 \frac{x}{7} [/tex]
[tex]= 2 \frac{x}{7} +x+x[/tex]
Add similar elements:
[tex]x+x = 2x[/tex]
[tex]2 \frac{x}{7} +2x[/tex]
Multiply [tex]2 \frac{x}{7} [/tex]
[tex]= \frac{2x}{7} +2x[/tex]
[tex] \frac{2x}{7} +2x = 60[/tex]
Multiply both sides by 7 :
[tex] \frac{2x}{7} *7+2x*7 = 60*7[/tex]
[tex]16x = 420[/tex]
[tex]x = 420 / 16[/tex]
[tex]x = \frac{105}{4} [/tex]
hope this helps!