ANSWER
[tex]x = 6\frac{2}{9} [/tex]
EXPLANATION
The given equation is
[tex]7x + 2(x - 5) = 46[/tex]
Expand the parenthesis using the distributive property.
[tex]7x + 2x - 10 = 46[/tex]
Group similar terms.
[tex]7x + 2x = 46 + 10[/tex]
Simplify;
[tex]9x = 56[/tex]
Divide both sides by 9.
[tex]x = \frac{56}{9} [/tex]
[tex]x = 6\frac{2}{9} [/tex]
