2(x+6)=-4(x+21)

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Solution for 2(x+6)=-4(x+21) equation: 


Simplifying
2(x + 6) = -4(x + 21)

Reorder the terms:
2(6 + x) = -4(x + 21)
(6 * 2 + x * 2) = -4(x + 21)
(12 + 2x) = -4(x + 21)

Reorder the terms:
12 + 2x = -4(21 + x)
12 + 2x = (21 * -4 + x * -4)
12 + 2x = (-84 + -4x)

Solving
12 + 2x = -84 + -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.
12 + 2x + 4x = -84 + -4x + 4x

Combine like terms: 2x + 4x = 6x
12 + 6x = -84 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 6x = -84 + 0
12 + 6x = -84

Add '-12' to each side of the equation.
12 + -12 + 6x = -84 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = -84 + -12
6x = -84 + -12

Combine like terms: -84 + -12 = -96
6x = -96

Divide each side by '6'.
x = -16

Simplifying
x = -16

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