I need to solve the following problem, 3x over x-2 = 3x+5 over x-1, can anyone help me?

Question

anonymous · Answer

In this case, you can cross multiply (or multiply both sides by (x-2)(x-1)).  When you do that, you get 3x^2 - 3x = 3x^2 -x -10
When you combine like terms, you get 10=2x, so x=5

anonymous · Answer

Guess you mean:

$$\frac{3x}{x-2}=\frac{3x+5}{x-1}$$

so you need to say, it's just solvable if x !=2 and x!=1

By cross multiplying u get:

$$3x(x-1) = (3x+5)(x-2)$$

$$3x^2 -3x = 3x^2 +5x -6x -10 $$

$$-3x = -1x -10$$

$$-2x = -10$$

$$x = 5$$

anonymous · Answer

Thank you.