(x-4)-5=(20)(x+4)

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Solution for (x-4)-5=(20)(x+4) equation:


Simplifying
(x + -4) + -5 = (20)(x + 4)

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

Remove parenthesis around (-4 + x)
-4 + x + -5 = (20)(x + 4)

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

Combine like terms: -4 + -5 = -9
-9 + x = (20)(x + 4)

Reorder the terms:
-9 + x = 20(4 + x)
-9 + x = (4 * 20 + x * 20)
-9 + x = (80 + 20x)

Solving
-9 + x = 80 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-9 + x + -20x = 80 + 20x + -20x

Combine like terms: x + -20x = -19x
-9 + -19x = 80 + 20x + -20x

Combine like terms: 20x + -20x = 0
-9 + -19x = 80 + 0
-9 + -19x = 80

Add '9' to each side of the equation.
-9 + 9 + -19x = 80 + 9

Combine like terms: -9 + 9 = 0
0 + -19x = 80 + 9
-19x = 80 + 9

Combine like terms: 80 + 9 = 89
-19x = 89

Divide each side by '-19'.
x = -4.684210526

Simplifying
x = -4.684210526

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