8 times 3x minus 2 equals 24x minus 16. And then, you gotta simplify this other thing: 4 plus 24x minus 16 minus 7x.

Question

Switch the order of the numbers: 4 minus 16 plus 24x minus 7x.
Put the same ones together: negative 12 plus 17x.

Answer 1

To solve the equation 8 times 3x minus 2 equals 24x minus 16:

Step 1: Distribute the 8 to the terms inside the parentheses:
8 * 3x - 8 * 2 = 24x - 16
24x - 16 = 24x - 16

Step 2: Simplify both sides of the equation:
24x - 16 = 24x - 16

Since the expression on both sides of the equation is the same, this equation is an identity. It means that for any value of x, the equation will be true.

Regarding the simplification of 4 plus 24x minus 16 minus 7x:

Step 1: Combine like terms:
4 - 16 + 24x - 7x.

Step 2: Simplify the expression:
-12 + 17x.

So, the simplified expression is -12 + 17x.