2(x-8)-2(3-x)=8

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Solution for 2(x-8)-2(3-x)=8 equation: 


Simplifying
2(x + -8) + -2(3 + -1x) = 8

Reorder the terms:
2(-8 + x) + -2(3 + -1x) = 8
(-8 * 2 + x * 2) + -2(3 + -1x) = 8
(-16 + 2x) + -2(3 + -1x) = 8
-16 + 2x + (3 * -2 + -1x * -2) = 8
-16 + 2x + (-6 + 2x) = 8

Reorder the terms:
-16 + -6 + 2x + 2x = 8

Combine like terms: -16 + -6 = -22
-22 + 2x + 2x = 8

Combine like terms: 2x + 2x = 4x
-22 + 4x = 8

Solving
-22 + 4x = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '22' to each side of the equation.
-22 + 22 + 4x = 8 + 22

Combine like terms: -22 + 22 = 0
0 + 4x = 8 + 22
4x = 8 + 22

Combine like terms: 8 + 22 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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