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

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


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

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

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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