4(x+1)=-2(x+6)

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Solution for 4(x+1)=-2(x+6) equation:


Simplifying
4(x + 1) = -2(x + 6)

Reorder the terms:
4(1 + x) = -2(x + 6)
(1 * 4 + x * 4) = -2(x + 6)
(4 + 4x) = -2(x + 6)

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

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

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + 4x + 2x = -12 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
4 + 6x = -12 + 0
4 + 6x = -12

Add '-4' to each side of the equation.
4 + -4 + 6x = -12 + -4

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

Combine like terms: -12 + -4 = -16
6x = -16

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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