6x-(x+9)=9+(3x-1)

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Solution for 6x-(x+9)=9+(3x-1) equation:


Simplifying
6x + -1(x + 9) = 9 + (3x + -1)

Reorder the terms:
6x + -1(9 + x) = 9 + (3x + -1)
6x + (9 * -1 + x * -1) = 9 + (3x + -1)
6x + (-9 + -1x) = 9 + (3x + -1)

Reorder the terms:
-9 + 6x + -1x = 9 + (3x + -1)

Combine like terms: 6x + -1x = 5x
-9 + 5x = 9 + (3x + -1)

Reorder the terms:
-9 + 5x = 9 + (-1 + 3x)

Remove parenthesis around (-1 + 3x)
-9 + 5x = 9 + -1 + 3x

Combine like terms: 9 + -1 = 8
-9 + 5x = 8 + 3x

Solving
-9 + 5x = 8 + 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.
-9 + 5x + -3x = 8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-9 + 2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 2x = 8 + 0
-9 + 2x = 8

Add '9' to each side of the equation.
-9 + 9 + 2x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 8 + 9
2x = 8 + 9

Combine like terms: 8 + 9 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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