Question

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

Answer 1

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

Answer 2

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:

\[3x(x-1) = (3x+5)(x-2)\]

\[3x^2 -3x = 3x^2 +5x -6x -10 \]

\[-3x = -1x -10\]

\[-2x = -10\]

\[x = 5\]

Answer 3

Thank you.