Question

Solve for x determine if the equation has one none or infinite solutions
4x=3(x+5)-15
The equation has no Solution
The equation has one solution x equals zero
The equation has one solution x = -10
The equation has infinite solutions

Answer 1

To solve the equation \( 4x = 3(x + 5) - 15 \), we will simplify both sides step by step.

1. Start with the given equation:
\[
4x = 3(x + 5) - 15
\]

2. Distribute the \(3\) on the right side:
\[
4x = 3x + 15 - 15
\]

3. Simplify the right side:
\[
4x = 3x
\]

4. Now, subtract \(3x\) from both sides:
\[
4x - 3x = 0
\]
\[
x = 0
\]

Now, let's determine if the equation has one, none, or infinite solutions:

We ended up with \( x = 0 \), which means the equation has **one solution**.

Therefore, the answer is:
**The equation has one solution, \(x = 0\)**.