6x-3x+8=3x+x-9

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Solution for 6x-3x+8=3x+x-9 equation:


Simplifying
6x + -3x + 8 = 3x + x + -9

Reorder the terms:
8 + 6x + -3x = 3x + x + -9

Combine like terms: 6x + -3x = 3x
8 + 3x = 3x + x + -9

Reorder the terms:
8 + 3x = -9 + 3x + x

Combine like terms: 3x + x = 4x
8 + 3x = -9 + 4x

Solving
8 + 3x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 3x + -4x = -9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -1x = -9 + 0
8 + -1x = -9

Add '-8' to each side of the equation.
8 + -8 + -1x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -9 + -8
-1x = -9 + -8

Combine like terms: -9 + -8 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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