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

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


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

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

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

Combine like terms: 8 + 2 = 10
2 + 2x = 10 + -2x

Solving
2 + 2x = 10 + -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 + 2x + 2x = 10 + -2x + 2x

Combine like terms: 2x + 2x = 4x
2 + 4x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 4x = 10 + 0
2 + 4x = 10

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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