2x+6+2x+2=2(x+8)

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Solution for 2x+6+2x+2=2(x+8) equation: 


Simplifying
2x + 6 + 2x + 2 = 2(x + 8)

Reorder the terms:
6 + 2 + 2x + 2x = 2(x + 8)

Combine like terms: 6 + 2 = 8
8 + 2x + 2x = 2(x + 8)

Combine like terms: 2x + 2x = 4x
8 + 4x = 2(x + 8)

Reorder the terms:
8 + 4x = 2(8 + x)
8 + 4x = (8 * 2 + x * 2)
8 + 4x = (16 + 2x)

Solving
8 + 4x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 4x + -2x = 16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + 2x = 16 + 0
8 + 2x = 16

Add '-8' to each side of the equation.
8 + -8 + 2x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 16 + -8
2x = 16 + -8

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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