2(x+3)+2(2x-4)=22

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Solution for 2(x+3)+2(2x-4)=22 equation: 


Simplifying
2(x + 3) + 2(2x + -4) = 22

Reorder the terms:
2(3 + x) + 2(2x + -4) = 22
(3 * 2 + x * 2) + 2(2x + -4) = 22
(6 + 2x) + 2(2x + -4) = 22

Reorder the terms:
6 + 2x + 2(-4 + 2x) = 22
6 + 2x + (-4 * 2 + 2x * 2) = 22
6 + 2x + (-8 + 4x) = 22

Reorder the terms:
6 + -8 + 2x + 4x = 22

Combine like terms: 6 + -8 = -2
-2 + 2x + 4x = 22

Combine like terms: 2x + 4x = 6x
-2 + 6x = 22

Solving
-2 + 6x = 22

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 22 + 2
6x = 22 + 2

Combine like terms: 22 + 2 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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