Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]\frac{x+2}{14} =\frac{x}{10}[/tex]
Multiply both sides by 10:
[tex]\frac{5(x+2)}{7} =x[/tex]
Multiply both sides by 7:
[tex]5(x+2)=7[/tex]
Expand using distributive rule: [tex]x(y+z)=xy+xz[/tex]
Hence, [tex]5*x+5*2=7x[/tex]
[tex]5x+10=7x[/tex]
[tex]2x=10[/tex]
Therefore, [tex]x=5[/tex].