Question

What is the answer to 5x + 24 = 3(x + 8) + 2x

Answer 1

Answer:

x can be any real number.

Step-by-step explanation:

$5x + 24 = 3(x + 8) + 2x$

Expand using the rule:

$x(y + z) = xy + xz$

Hence,

$5x + 24 = 3 \times x + 3 \times 8 + 2x$

$5x + 24 = 3x + 24 + 2x$

$5x + 24 = 5x + 24$

Subtract 5x+24 from both sides:

$0 = 0$

This means that there are infinite solutions, and x can be any number.