Respuesta :

The answer is 7.
x + 8 + 2x - 5 = 10 + 14
x + 8 + 2x - 5 = 24
                + 5 = +5
 x +8 + 2x = 29
     -8             -8
x + 2x = 21
put the x's together
3x = 21
divide
x= 7
 

check 3 x 7 = 21
Same rule as the last problem I solved:
[tex] \frac{x + 8}{10} = \frac{2x - 5}{14} \: \: ... \: cross - multiply \\ 14(x + 8) = 10(2x - 5) \\ 14x + 112 = 20x - 50 \\ - 6x = - 162[/tex]
[tex] - 6x = - 162 \\ \frac{ - 6x}{ - 6} = \frac{- 162}{ - 6} \\ x = 27[/tex]