6-2(3x+1)=-x-16

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Solution for 6-2(3x+1)=-x-16 equation:


Simplifying
6 + -2(3x + 1) = -1x + -16

Reorder the terms:
6 + -2(1 + 3x) = -1x + -16
6 + (1 * -2 + 3x * -2) = -1x + -16
6 + (-2 + -6x) = -1x + -16

Combine like terms: 6 + -2 = 4
4 + -6x = -1x + -16

Reorder the terms:
4 + -6x = -16 + -1x

Solving
4 + -6x = -16 + -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.
4 + -6x + x = -16 + -1x + x

Combine like terms: -6x + x = -5x
4 + -5x = -16 + -1x + x

Combine like terms: -1x + x = 0
4 + -5x = -16 + 0
4 + -5x = -16

Add '-4' to each side of the equation.
4 + -4 + -5x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -16 + -4
-5x = -16 + -4

Combine like terms: -16 + -4 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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