2x-6=-3x+6-2

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


Simplifying
2x + -6 = -3x + 6 + -2

Reorder the terms:
-6 + 2x = -3x + 6 + -2

Reorder the terms:
-6 + 2x = 6 + -2 + -3x

Combine like terms: 6 + -2 = 4
-6 + 2x = 4 + -3x

Solving
-6 + 2x = 4 + -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.
-6 + 2x + 3x = 4 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 5x = 4 + 0
-6 + 5x = 4

Add '6' to each side of the equation.
-6 + 6 + 5x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 4 + 6
5x = 4 + 6

Combine like terms: 4 + 6 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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