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

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


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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 6x = 8 + -2

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

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

Divide each side by '6'.
x = 1

Simplifying
x = 1

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