Question

Solve for x to determine if the equation has one, none, or infinite solutions.

16x = 5(3x - 4) - x

A. The equation has infinite solutions
B. The equation has no solutions
C. The equation has one solution , x = 10
D. The equation has one solution , x = -10

Answer 1

To solve for x, we will first simplify the equation:

16x = 5(3x - 4) - x
16x = 15x - 20 - x
16x = 14x - 20

Next, we will combine like terms by subtracting 14x from both sides:

2x = -20

To solve for x, divide both sides by 2:

x = -10

Therefore, the equation has one solution, x = -10.

The answer is D. The equation has one solution, x = -10.