6(x+2)-2(x+22)=16

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Solution for 6(x+2)-2(x+22)=16 equation: 


Simplifying
6(x + 2) + -2(x + 22) = 16

Reorder the terms:
6(2 + x) + -2(x + 22) = 16
(2 * 6 + x * 6) + -2(x + 22) = 16
(12 + 6x) + -2(x + 22) = 16

Reorder the terms:
12 + 6x + -2(22 + x) = 16
12 + 6x + (22 * -2 + x * -2) = 16
12 + 6x + (-44 + -2x) = 16

Reorder the terms:
12 + -44 + 6x + -2x = 16

Combine like terms: 12 + -44 = -32
-32 + 6x + -2x = 16

Combine like terms: 6x + -2x = 4x
-32 + 4x = 16

Solving
-32 + 4x = 16

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 4x = 16 + 32

Combine like terms: -32 + 32 = 0
0 + 4x = 16 + 32
4x = 16 + 32

Combine like terms: 16 + 32 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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