2-(x-3)=-6x

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


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

Reorder the terms:
2 + -1(-3 + x) = -6x
2 + (-3 * -1 + x * -1) = -6x
2 + (3 + -1x) = -6x

Combine like terms: 2 + 3 = 5
5 + -1x = -6x

Solving
5 + -1x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
5 + -1x + 6x = -6x + 6x

Combine like terms: -1x + 6x = 5x
5 + 5x = -6x + 6x

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 0 + -5

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

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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