8(x+5)=-4(x+8)

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Solution for 8(x+5)=-4(x+8) equation:


Simplifying
8(x + 5) = -4(x + 8)

Reorder the terms:
8(5 + x) = -4(x + 8)
(5 * 8 + x * 8) = -4(x + 8)
(40 + 8x) = -4(x + 8)

Reorder the terms:
40 + 8x = -4(8 + x)
40 + 8x = (8 * -4 + x * -4)
40 + 8x = (-32 + -4x)

Solving
40 + 8x = -32 + -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.
40 + 8x + 4x = -32 + -4x + 4x

Combine like terms: 8x + 4x = 12x
40 + 12x = -32 + -4x + 4x

Combine like terms: -4x + 4x = 0
40 + 12x = -32 + 0
40 + 12x = -32

Add '-40' to each side of the equation.
40 + -40 + 12x = -32 + -40

Combine like terms: 40 + -40 = 0
0 + 12x = -32 + -40
12x = -32 + -40

Combine like terms: -32 + -40 = -72
12x = -72

Divide each side by '12'.
x = -6

Simplifying
x = -6

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