x-2(x+3)=-3x-14

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Solution for x-2(x+3)=-3x-14 equation:


Simplifying
x + -2(x + 3) = -3x + -14

Reorder the terms:
x + -2(3 + x) = -3x + -14
x + (3 * -2 + x * -2) = -3x + -14
x + (-6 + -2x) = -3x + -14

Reorder the terms:
-6 + x + -2x = -3x + -14

Combine like terms: x + -2x = -1x
-6 + -1x = -3x + -14

Reorder the terms:
-6 + -1x = -14 + -3x

Solving
-6 + -1x = -14 + -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 + -1x + 3x = -14 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-6 + 2x = -14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 2x = -14 + 0
-6 + 2x = -14

Add '6' to each side of the equation.
-6 + 6 + 2x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -14 + 6
2x = -14 + 6

Combine like terms: -14 + 6 = -8
2x = -8

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

Simplifying
x = -4

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