3x-r(x-1)=2(7-3x)

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Solution for 3x-r(x-1)=2(7-3x) equation:


Simplifying
3x + -1r(x + -1) = 2(7 + -3x)

Reorder the terms:
3x + -1r(-1 + x) = 2(7 + -3x)
3x + (-1 * -1r + x * -1r) = 2(7 + -3x)
3x + (1r + -1rx) = 2(7 + -3x)

Reorder the terms:
1r + -1rx + 3x = 2(7 + -3x)
1r + -1rx + 3x = (7 * 2 + -3x * 2)
1r + -1rx + 3x = (14 + -6x)

Solving
1r + -1rx + 3x = 14 + -6x

Solving for variable 'r'.

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

Add '-3x' to each side of the equation.
1r + -1rx + 3x + -3x = 14 + -6x + -3x

Combine like terms: 3x + -3x = 0
1r + -1rx + 0 = 14 + -6x + -3x
1r + -1rx = 14 + -6x + -3x

Combine like terms: -6x + -3x = -9x
1r + -1rx = 14 + -9x

Reorder the terms:
-14 + 1r + -1rx + 9x = 14 + -9x + -14 + 9x

Reorder the terms:
-14 + 1r + -1rx + 9x = 14 + -14 + -9x + 9x

Combine like terms: 14 + -14 = 0
-14 + 1r + -1rx + 9x = 0 + -9x + 9x
-14 + 1r + -1rx + 9x = -9x + 9x

Combine like terms: -9x + 9x = 0
-14 + 1r + -1rx + 9x = 0

The solution to this equation could not be determined.

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