2(3x-4)+6=2x-16

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Solution for 2(3x-4)+6=2x-16 equation:


Simplifying
2(3x + -4) + 6 = 2x + -16

Reorder the terms:
2(-4 + 3x) + 6 = 2x + -16
(-4 * 2 + 3x * 2) + 6 = 2x + -16
(-8 + 6x) + 6 = 2x + -16

Reorder the terms:
-8 + 6 + 6x = 2x + -16

Combine like terms: -8 + 6 = -2
-2 + 6x = 2x + -16

Reorder the terms:
-2 + 6x = -16 + 2x

Solving
-2 + 6x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 6x + -2x = -16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-2 + 4x = -16 + 0
-2 + 4x = -16

Add '2' to each side of the equation.
-2 + 2 + 4x = -16 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = -16 + 2
4x = -16 + 2

Combine like terms: -16 + 2 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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