2(2x-6)+2(x-10)=2(x+2)+2(x+4)

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Solution for 2(2x-6)+2(x-10)=2(x+2)+2(x+4) equation: 


Simplifying
2(2x + -6) + 2(x + -10) = 2(x + 2) + 2(x + 4)

Reorder the terms:
2(-6 + 2x) + 2(x + -10) = 2(x + 2) + 2(x + 4)
(-6 * 2 + 2x * 2) + 2(x + -10) = 2(x + 2) + 2(x + 4)
(-12 + 4x) + 2(x + -10) = 2(x + 2) + 2(x + 4)

Reorder the terms:
-12 + 4x + 2(-10 + x) = 2(x + 2) + 2(x + 4)
-12 + 4x + (-10 * 2 + x * 2) = 2(x + 2) + 2(x + 4)
-12 + 4x + (-20 + 2x) = 2(x + 2) + 2(x + 4)

Reorder the terms:
-12 + -20 + 4x + 2x = 2(x + 2) + 2(x + 4)

Combine like terms: -12 + -20 = -32
-32 + 4x + 2x = 2(x + 2) + 2(x + 4)

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

Reorder the terms:
-32 + 6x = 2(2 + x) + 2(x + 4)
-32 + 6x = (2 * 2 + x * 2) + 2(x + 4)
-32 + 6x = (4 + 2x) + 2(x + 4)

Reorder the terms:
-32 + 6x = 4 + 2x + 2(4 + x)
-32 + 6x = 4 + 2x + (4 * 2 + x * 2)
-32 + 6x = 4 + 2x + (8 + 2x)

Reorder the terms:
-32 + 6x = 4 + 8 + 2x + 2x

Combine like terms: 4 + 8 = 12
-32 + 6x = 12 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-32 + 6x = 12 + 4x

Solving
-32 + 6x = 12 + 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.
-32 + 6x + -4x = 12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-32 + 2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + 2x = 12 + 0
-32 + 2x = 12

Add '32' to each side of the equation.
-32 + 32 + 2x = 12 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 12 + 32
2x = 12 + 32

Combine like terms: 12 + 32 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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