(3x-1)-x=9-(3x-1)

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Solution for (3x-1)-x=9-(3x-1) equation:


Simplifying
(3x + -1) + -1x = 9 + -1(3x + -1)

Reorder the terms:
(-1 + 3x) + -1x = 9 + -1(3x + -1)

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1x = 9 + -1(3x + -1)

Combine like terms: 3x + -1x = 2x
-1 + 2x = 9 + -1(3x + -1)

Reorder the terms:
-1 + 2x = 9 + -1(-1 + 3x)
-1 + 2x = 9 + (-1 * -1 + 3x * -1)
-1 + 2x = 9 + (1 + -3x)

Combine like terms: 9 + 1 = 10
-1 + 2x = 10 + -3x

Solving
-1 + 2x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-1 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 5x = 10 + 0
-1 + 5x = 10

Add '1' to each side of the equation.
-1 + 1 + 5x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 10 + 1
5x = 10 + 1

Combine like terms: 10 + 1 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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