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

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


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

Reorder the terms:
2(4 + x) = 4(x + -1)
(4 * 2 + x * 2) = 4(x + -1)
(8 + 2x) = 4(x + -1)

Reorder the terms:
8 + 2x = 4(-1 + x)
8 + 2x = (-1 * 4 + x * 4)
8 + 2x = (-4 + 4x)

Solving
8 + 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.
8 + 2x + -4x = -4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
8 + -2x = -4 + 0
8 + -2x = -4

Add '-8' to each side of the equation.
8 + -8 + -2x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -4 + -8
-2x = -4 + -8

Combine like terms: -4 + -8 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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