Question

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

Answer 1

Solve: 4x = 3(x + 5) − 15.

Expand the right side: 3(x + 5) − 15 = 3x + 15 − 15 = 3x.

So the equation becomes 4x = 3x. Subtract 3x from both sides: x = 0.

Check: 4(0) = 0 and 3(0+5)−15 = 15−15 = 0, so it works.

Conclusion: The equation has one solution, x = 0.