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

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


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

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

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

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

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

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

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

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

Combine like terms: -4 + 16 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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