2(x-4)-6=28-4x

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Solution for 2(x-4)-6=28-4x equation:


Simplifying
2(x + -4) + -6 = 28 + -4x

Reorder the terms:
2(-4 + x) + -6 = 28 + -4x
(-4 * 2 + x * 2) + -6 = 28 + -4x
(-8 + 2x) + -6 = 28 + -4x

Reorder the terms:
-8 + -6 + 2x = 28 + -4x

Combine like terms: -8 + -6 = -14
-14 + 2x = 28 + -4x

Solving
-14 + 2x = 28 + -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.
-14 + 2x + 4x = 28 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-14 + 6x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 6x = 28 + 0
-14 + 6x = 28

Add '14' to each side of the equation.
-14 + 14 + 6x = 28 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 28 + 14
6x = 28 + 14

Combine like terms: 28 + 14 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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