2(2x+1)=2x+8

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Solution for 2(2x+1)=2x+8 equation: 


Simplifying
2(2x + 1) = 2x + 8

Reorder the terms:
2(1 + 2x) = 2x + 8
(1 * 2 + 2x * 2) = 2x + 8
(2 + 4x) = 2x + 8

Reorder the terms:
2 + 4x = 8 + 2x

Solving
2 + 4x = 8 + 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.
2 + 4x + -2x = 8 + 2x + -2x

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

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

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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