2(x-2)=6x+16

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


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

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

Reorder the terms:
-4 + 2x = 16 + 6x

Solving
-4 + 2x = 16 + 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.
-4 + 2x + -6x = 16 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-4 + -4x = 16 + 0
-4 + -4x = 16

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

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

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

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

Simplifying
x = -5

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