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

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


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

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

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

Solving
2 + 2x = -4 + 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 = -4 + 4x + -4x

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

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

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

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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