3x-r=r(x-3)

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


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

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

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 = 2r
2r + 3x = -3r + 3r + rx

Combine like terms: -3r + 3r = 0
2r + 3x = 0 + rx
2r + 3x = rx

Add '-1rx' to each side of the equation.
2r + -1rx + 3x = rx + -1rx

Combine like terms: rx + -1rx = 0
2r + -1rx + 3x = 0

Add '-3x' to each side of the equation.
2r + -1rx + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
2r + -1rx + 0 = 0 + -3x
2r + -1rx = 0 + -3x
Remove the zero:
2r + -1rx = -3x

Combine like terms: -3x + 3x = 0
2r + -1rx + 3x = 0

The solution to this equation could not be determined.

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