4(x+3)=-8(x+4)

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Solution for 4(x+3)=-8(x+4) equation: 


Simplifying
4(x + 3) = -8(x + 4)

Reorder the terms:
4(3 + x) = -8(x + 4)
(3 * 4 + x * 4) = -8(x + 4)
(12 + 4x) = -8(x + 4)

Reorder the terms:
12 + 4x = -8(4 + x)
12 + 4x = (4 * -8 + x * -8)
12 + 4x = (-32 + -8x)

Solving
12 + 4x = -32 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12 + 4x + 8x = -32 + -8x + 8x

Combine like terms: 4x + 8x = 12x
12 + 12x = -32 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 12x = -32 + 0
12 + 12x = -32

Add '-12' to each side of the equation.
12 + -12 + 12x = -32 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = -32 + -12
12x = -32 + -12

Combine like terms: -32 + -12 = -44
12x = -44

Divide each side by '12'.
x = -3.666666667

Simplifying
x = -3.666666667

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