If x + 5/x - 5 = 2, then x - 5 = ? Please show step by step. Thanks!?

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I think you meant (x+5) / (x-5) = 2

x+5 = 2x - 10

x = 15

And x-5 = 10.

X+5/x-5 =2. X+5/2 =x-5

(x + 5) / (x - 5) = 2 : multiply both sides by (x - 5)

(x + 5) = 2 * (x - 5) : divide both sides by 2

x - 5 = (x + 5) / 2 : this appears to answer your question...

This can also be written as: x - 5 = (1 / 2)*x + (5 / 2)

to solve for x:

(x + 5) / (x - 5) = 2 : multiply both sides by (x - 5)

(x + 5) = 2 * (x - 5) : distribute the 2

x + 5 = 2*x - 10 : subtract x from both sides

5 = 2*x - 10 - x : simplify

5 = x - 10 : add 10 to both sides

15 = x

Therefore, x = 15.

Given x+5/x-5 = 2

Or, x+5=2(x-5) (cross multiplication)

Or, x+5=2x-10 (opening bracket)

Or,5= 2x-x-10 (moving LHS to RHS, thus sign change)

Or,5=x-10 (solving 2x-x)

Or,x-10=5 (LHS =RHS)

Or,x-10-5=0 (moving RHS to LHS, thus change sign)

Or,x-5=10 (moving LHS to RHS, thus change sign)

Therefore, x-5 = 10.