8(x+5)=-2x-40

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Solution for 8(x+5)=-2x-40 equation:


Simplifying
8(x + 5) = -2x + -40

Reorder the terms:
8(5 + x) = -2x + -40
(5 * 8 + x * 8) = -2x + -40
(40 + 8x) = -2x + -40

Reorder the terms:
40 + 8x = -40 + -2x

Solving
40 + 8x = -40 + -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.
40 + 8x + 2x = -40 + -2x + 2x

Combine like terms: 8x + 2x = 10x
40 + 10x = -40 + -2x + 2x

Combine like terms: -2x + 2x = 0
40 + 10x = -40 + 0
40 + 10x = -40

Add '-40' to each side of the equation.
40 + -40 + 10x = -40 + -40

Combine like terms: 40 + -40 = 0
0 + 10x = -40 + -40
10x = -40 + -40

Combine like terms: -40 + -40 = -80
10x = -80

Divide each side by '10'.
x = -8

Simplifying
x = -8

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