solve for x to determine if the equation has one, non, or infinite solutions

Question

4x = 3 ( x + 5 ) - 15

Answer 1

Let's first distribute the 3 on the right side of the equation:
4x = 3x + 15 - 15

Now simplify the equation:
4x = 3x

Subtract 3x from both sides:
4x - 3x = 3x - 3x
x = 0

Since we found that x = 0, there is only one solution to the equation.