3x-r=r(3+x)

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Solution for 3x-r=r(3+x) equation:


Simplifying
3x + -1r = r(3 + x)

Reorder the terms:
-1r + 3x = r(3 + x)
-1r + 3x = (3 * r + x * r)
-1r + 3x = (3r + rx)

Solving
-1r + 3x = 3r + rx

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-3r' to each side of the equation.
-1r + -3r + 3x = 3r + -3r + rx

Combine like terms: -1r + -3r = -4r
-4r + 3x = 3r + -3r + rx

Combine like terms: 3r + -3r = 0
-4r + 3x = 0 + rx
-4r + 3x = rx

Add '-1rx' to each side of the equation.
-4r + -1rx + 3x = rx + -1rx

Combine like terms: rx + -1rx = 0
-4r + -1rx + 3x = 0

Add '-3x' to each side of the equation.
-4r + -1rx + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
-4r + -1rx + 0 = 0 + -3x
-4r + -1rx = 0 + -3x
Remove the zero:
-4r + -1rx = -3x

Combine like terms: -3x + 3x = 0
-4r + -1rx + 3x = 0

The solution to this equation could not be determined.

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