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

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


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

Reorder the terms:
2(-8 + x) = -4(x + 5)
(-8 * 2 + x * 2) = -4(x + 5)
(-16 + 2x) = -4(x + 5)

Reorder the terms:
-16 + 2x = -4(5 + x)
-16 + 2x = (5 * -4 + x * -4)
-16 + 2x = (-20 + -4x)

Solving
-16 + 2x = -20 + -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.
-16 + 2x + 4x = -20 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-16 + 6x = -20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + 6x = -20 + 0
-16 + 6x = -20

Add '16' to each side of the equation.
-16 + 16 + 6x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = -20 + 16
6x = -20 + 16

Combine like terms: -20 + 16 = -4
6x = -4

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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