3-1x+2x-6=7x+9-x

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Solution for 3-1x+2x-6=7x+9-x equation:


Simplifying
3 + -1x + 2x + -6 = 7x + 9 + -1x

Reorder the terms:
3 + -6 + -1x + 2x = 7x + 9 + -1x

Combine like terms: 3 + -6 = -3
-3 + -1x + 2x = 7x + 9 + -1x

Combine like terms: -1x + 2x = 1x
-3 + 1x = 7x + 9 + -1x

Reorder the terms:
-3 + 1x = 9 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-3 + 1x = 9 + 6x

Solving
-3 + 1x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 1x + -6x = 9 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-3 + -5x = 9 + 0
-3 + -5x = 9

Add '3' to each side of the equation.
-3 + 3 + -5x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 9 + 3
-5x = 9 + 3

Combine like terms: 9 + 3 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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