2(x-4)-8=-1(x+5)

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Solution for 2(x-4)-8=-1(x+5) equation:


Simplifying
2(x + -4) + -8 = -1(x + 5)

Reorder the terms:
2(-4 + x) + -8 = -1(x + 5)
(-4 * 2 + x * 2) + -8 = -1(x + 5)
(-8 + 2x) + -8 = -1(x + 5)

Reorder the terms:
-8 + -8 + 2x = -1(x + 5)

Combine like terms: -8 + -8 = -16
-16 + 2x = -1(x + 5)

Reorder the terms:
-16 + 2x = -1(5 + x)
-16 + 2x = (5 * -1 + x * -1)
-16 + 2x = (-5 + -1x)

Solving
-16 + 2x = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + 2x + x = -5 + -1x + x

Combine like terms: 2x + x = 3x
-16 + 3x = -5 + -1x + x

Combine like terms: -1x + x = 0
-16 + 3x = -5 + 0
-16 + 3x = -5

Add '16' to each side of the equation.
-16 + 16 + 3x = -5 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = -5 + 16
3x = -5 + 16

Combine like terms: -5 + 16 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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