8(x-2)=2(2-x)

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


Simplifying
8(x + -2) = 2(2 + -1x)

Reorder the terms:
8(-2 + x) = 2(2 + -1x)
(-2 * 8 + x * 8) = 2(2 + -1x)
(-16 + 8x) = 2(2 + -1x)
-16 + 8x = (2 * 2 + -1x * 2)
-16 + 8x = (4 + -2x)

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

Combine like terms: 8x + 2x = 10x
-16 + 10x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-16 + 10x = 4 + 0
-16 + 10x = 4

Add '16' to each side of the equation.
-16 + 16 + 10x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = 4 + 16
10x = 4 + 16

Combine like terms: 4 + 16 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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