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

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


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

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

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

Remove parenthesis around (-4 + x)
2 + 4x = -4 + x

Solving
2 + 4x = -4 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
2 + 3x = -4 + 0
2 + 3x = -4

Add '-2' to each side of the equation.
2 + -2 + 3x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -4 + -2
3x = -4 + -2

Combine like terms: -4 + -2 = -6
3x = -6

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

Simplifying
x = -2

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