Answer:
x can be any real number.
Step-by-step explanation:
[tex]5x + 24 = 3(x + 8) + 2x[/tex]
Expand using the rule:
[tex]x(y + z) = xy + xz[/tex]
Hence,
[tex]5x + 24 = 3 \times x + 3 \times 8 + 2x[/tex]
[tex]5x + 24 = 3x + 24 + 2x[/tex]
[tex]5x + 24 = 5x + 24[/tex]
Subtract 5x+24 from both sides:
[tex]0 = 0[/tex]
This means that there are infinite solutions, and x can be any number.