2(x+1)=2(4x+2)

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Solution for 2(x+1)=2(4x+2) equation:


Simplifying
2(x + 1) = 2(4x + 2)

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

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

Solving
2 + 2x = 4 + 8x

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 0
2 + -6x = 4 + 0
2 + -6x = 4

Add '-2' to each side of the equation.
2 + -2 + -6x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = 4 + -2
-6x = 4 + -2

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

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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