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

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


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

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

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

Combine like terms: -8 + -2 = -10
-10 + 4x = 6 + -4x

Solving
-10 + 4x = 6 + -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.
-10 + 4x + 4x = 6 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-10 + 8x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 8x = 6 + 0
-10 + 8x = 6

Add '10' to each side of the equation.
-10 + 10 + 8x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 6 + 10
8x = 6 + 10

Combine like terms: 6 + 10 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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