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

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Solution for 2(x+5)=-8(x+4) equation:


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

Reorder the terms:
2(5 + x) = -8(x + 4)
(5 * 2 + x * 2) = -8(x + 4)
(10 + 2x) = -8(x + 4)

Reorder the terms:
10 + 2x = -8(4 + x)
10 + 2x = (4 * -8 + x * -8)
10 + 2x = (-32 + -8x)

Solving
10 + 2x = -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.
10 + 2x + 8x = -32 + -8x + 8x

Combine like terms: 2x + 8x = 10x
10 + 10x = -32 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 10x = -32 + 0
10 + 10x = -32

Add '-10' to each side of the equation.
10 + -10 + 10x = -32 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = -32 + -10
10x = -32 + -10

Combine like terms: -32 + -10 = -42
10x = -42

Divide each side by '10'.
x = -4.2

Simplifying
x = -4.2

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