3x-9x+6=20-3x+4x

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Solution for 3x-9x+6=20-3x+4x equation:


Simplifying
3x + -9x + 6 = 20 + -3x + 4x

Reorder the terms:
6 + 3x + -9x = 20 + -3x + 4x

Combine like terms: 3x + -9x = -6x
6 + -6x = 20 + -3x + 4x

Combine like terms: -3x + 4x = 1x
6 + -6x = 20 + 1x

Solving
6 + -6x = 20 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -6x + -1x = 20 + 1x + -1x

Combine like terms: -6x + -1x = -7x
6 + -7x = 20 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + -7x = 20 + 0
6 + -7x = 20

Add '-6' to each side of the equation.
6 + -6 + -7x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 20 + -6
-7x = 20 + -6

Combine like terms: 20 + -6 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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