(-3x)+2=x-6

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


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

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

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

Solving
2 + (-3x) = -6 + x

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.
2 + (-3x) + -1x = -6 + x + -1x

Combine like terms: (-3x) + -1x = -4x
2 + -4x = -6 + x + -1x

Combine like terms: x + -1x = 0
2 + -4x = -6 + 0
2 + -4x = -6

Add '-2' to each side of the equation.
2 + -2 + -4x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -6 + -2
-4x = -6 + -2

Combine like terms: -6 + -2 = -8
-4x = -8

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

Simplifying
x = 2

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