Answer:
x = 2
Step-by-step explanation:
The answer to the question above is solved below.
[tex]9(x + 1) = 25 + x[/tex]
Expand the left hand side of the equation by removing the brackets. Thus we have: 9 × x + 9 × 1 as expressed below.
[tex]9x + 9 = 25 + x[/tex]
Collect like term. When collecting like terms, +9 and +x change to -9 and -x. Thus:
[tex]9x - x = 25 - 9[/tex]
[tex]8x = 16[/tex]
To get the value of x, we divide through by the coefficient of x which is 8. Thus:
[tex] \frac{8x}{8} = \frac{16}{8} [/tex]
[tex]x = 2[/tex]
Check,
[tex]9(x + 1) = 25 + x[/tex]
[tex]9x + 9 = 25 + x[/tex]
Since x = 2
[tex]9(2) + 9 = 25 + 2[/tex]
[tex]18 + 9 = 25 + 2[/tex]
[tex]27 = 27[/tex]
Therefore, x = 2 is justified to be correct.
