Question

Solve for x determine if the equation has one none or infinite solutions
4x=3(x+5)-15

Answer 1

To solve the equation \( 4x = 3(x + 5) - 15 \), we first expand and simplify the right side:

1. Expand \( 3(x + 5) \):
\[
3(x + 5) = 3x + 15
\]

2. Substitute this back into the equation:
\[
4x = 3x + 15 - 15
\]

3. Simplifying further, the equation becomes:
\[
4x = 3x
\]

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

Now, we determine if the equation has one, none, or infinite solutions.

The equation simplifies down to \( x = 0 \), which is a single solution. Therefore, this equation has **one solution**.

Thus, the solution to the equation is:
\[
\boxed{0}
\]