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

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


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

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

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

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

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

Solving
9 + 1x = 1 + 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 + 1x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
9 + -2x = 1 + 0
9 + -2x = 1

Add '-9' to each side of the equation.
9 + -9 + -2x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 1 + -9
-2x = 1 + -9

Combine like terms: 1 + -9 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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