Question

solve the equations (I have the answer which is x=5 but need the steps please
3x/(x-2)=(3x+5)/(x-1)

Answer 1

use cross multiplication

Answer 2

3x(x-1)=(3x+5)(x-2)
3x^2-3x=3x^2-6x+5x-10
-2x=-10
x=5

Answer 3

\[3x \div(x-2) = (3x+5)\div(x-1)\]
\[3x ^{2} - 3x = 3x ^{2} + 5x - 6x - 10\]
\[3x ^{2} -3x = 3x ^{2} -x -10\]
\[3x ^{2} - 3x - 3x ^{2} + x = -10\]
\[-2x = -10\]
\[2x = 10\]
\[x = 5\]

Answer 4

3x(x-1)=(3x+5)(x-2)
or 3x(x-1)=3x(x-2)+5(x-2)
or 3x(x-1)-3x(x-2)=5x-10
or 3x(x-1-x+2)=5x-10
or 3x =5x-10
or 2x=10
or x=5