2(x+1)=6(1-x)

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Solution for 2(x+1)=6(1-x) equation:


Simplifying
2(x + 1) = 6(1 + -1x)

Reorder the terms:
2(1 + x) = 6(1 + -1x)
(1 * 2 + x * 2) = 6(1 + -1x)
(2 + 2x) = 6(1 + -1x)
2 + 2x = (1 * 6 + -1x * 6)
2 + 2x = (6 + -6x)

Solving
2 + 2x = 6 + -6x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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