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

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


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

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

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

Combine like terms: x + 2x = 3x
2 + 3x = 4(x + -1)

Reorder the terms:
2 + 3x = 4(-1 + x)
2 + 3x = (-1 * 4 + x * 4)
2 + 3x = (-4 + 4x)

Solving
2 + 3x = -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 + 3x + -4x = -4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = -4 + 0
2 + -1x = -4

Add '-2' to each side of the equation.
2 + -2 + -1x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -4 + -2
-1x = -4 + -2

Combine like terms: -4 + -2 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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