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

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


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

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

Reorder the terms:
-8 + 6x + -4x = 4x + -16

Combine like terms: 6x + -4x = 2x
-8 + 2x = 4x + -16

Reorder the terms:
-8 + 2x = -16 + 4x

Solving
-8 + 2x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 2x + -4x = -16 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-8 + -2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -2x = -16 + 0
-8 + -2x = -16

Add '8' to each side of the equation.
-8 + 8 + -2x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -16 + 8
-2x = -16 + 8

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

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

Simplifying
x = 4

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