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

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


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

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

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

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

Solving
-6 + 1x = -1x

Solving for variable 'x'.

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 2x = 0 + 6

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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