Answer:
[tex] x = 14 [/tex]
Step-by-step explanation:
To find x, the following equation is generated given the available information:
[tex] \frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12} [/tex]
[tex] \frac{2x + 7}{x + 7} = \frac{20}{12} [/tex]
[tex] \frac{2x + 7}{x + 7} = \frac{5}{3} [/tex]
Cross multiply
[tex] 3(2x + 7) = 5(x + 7) [/tex]
[tex] 6x + 21 = 5x + 35 [/tex]
Collect like terms
[tex] 6x - 5x = - 21 + 35 [/tex]
[tex] x = - 21 + 35 [/tex]
[tex] x = 14 [/tex]
