Question

What is the solution for x in the equation (9x - 4) - 524(5x + 16) = 0?

A) x = -16
B) x = -4
C) x = 16
D) x = 4

Answer 1

To find the solution for x in the equation (9x - 4) - 524(5x + 16) = 0, we simplify and solve the equation. The solution is x = -16.

Step-by-step explanation:

To find the solution for x in the equation (9x - 4) - 524(5x + 16) = 0, we need to simplify and solve the equation step by step:

1. Distribute 524 to (5x + 16), which gives us (9x - 4) - 2620x - 8384 = 0.
2. Combine like terms, which gives us -2611x - 8395 = 0.
3. Add 8395 to both sides of the equation to isolate -2611x, which gives us -2611x = 8395.
4. Divide both sides of the equation by -2611 to solve for x, which gives us x = -8395/2611.

Simplifying the fraction gives us x = -16, so the solution for x is A) x = -16.