22-2(2x+1)=6x-2(6+x)

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Solution for 22-2(2x+1)=6x-2(6+x) equation: 


Simplifying
22 + -2(2x + 1) = 6x + -2(6 + x)

Reorder the terms:
22 + -2(1 + 2x) = 6x + -2(6 + x)
22 + (1 * -2 + 2x * -2) = 6x + -2(6 + x)
22 + (-2 + -4x) = 6x + -2(6 + x)

Combine like terms: 22 + -2 = 20
20 + -4x = 6x + -2(6 + x)
20 + -4x = 6x + (6 * -2 + x * -2)
20 + -4x = 6x + (-12 + -2x)

Reorder the terms:
20 + -4x = -12 + 6x + -2x

Combine like terms: 6x + -2x = 4x
20 + -4x = -12 + 4x

Solving
20 + -4x = -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.
20 + -4x + -4x = -12 + 4x + -4x

Combine like terms: -4x + -4x = -8x
20 + -8x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -8x = -12 + 0
20 + -8x = -12

Add '-20' to each side of the equation.
20 + -20 + -8x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -12 + -20
-8x = -12 + -20

Combine like terms: -12 + -20 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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