2(x-1)+2(x-3)=16

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Solution for 2(x-1)+2(x-3)=16 equation: 


Simplifying
2(x + -1) + 2(x + -3) = 16

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

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

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

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

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

Solving
-8 + 4x = 16

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 4x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 16 + 8
4x = 16 + 8

Combine like terms: 16 + 8 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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