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

Question

4x=3(x+5)−15
1. The equation has one solution: x = −10.
2. The equation has one solution: x = 0.
3. The equation has infinite solutions.
4. The equation has no solution.

Answer 1

To solve the equation 4x=3(x+5)−15, we can start by distributing the 3 on the right-hand side:

4x = 3x + 15 - 15

Simplifying and combining like terms, we get:

4x = 3x

Subtracting 3x from both sides, we are left with:

x = 0

Therefore, the equation has one solution: x = 0.

The correct answer is option 2.