6(x-2)=8-2x

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Solution for 6(x-2)=8-2x equation:


Simplifying
6(x + -2) = 8 + -2x

Reorder the terms:
6(-2 + x) = 8 + -2x
(-2 * 6 + x * 6) = 8 + -2x
(-12 + 6x) = 8 + -2x

Solving
-12 + 6x = 8 + -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.
-12 + 6x + 2x = 8 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-12 + 8x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 8x = 8 + 0
-12 + 8x = 8

Add '12' to each side of the equation.
-12 + 12 + 8x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 8 + 12
8x = 8 + 12

Combine like terms: 8 + 12 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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