-16(x-5)=4(x+5)

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Solution for -16(x-5)=4(x+5) equation:


Simplifying
-16(x + -5) = 4(x + 5)

Reorder the terms:
-16(-5 + x) = 4(x + 5)
(-5 * -16 + x * -16) = 4(x + 5)
(80 + -16x) = 4(x + 5)

Reorder the terms:
80 + -16x = 4(5 + x)
80 + -16x = (5 * 4 + x * 4)
80 + -16x = (20 + 4x)

Solving
80 + -16x = 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.
80 + -16x + -4x = 20 + 4x + -4x

Combine like terms: -16x + -4x = -20x
80 + -20x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
80 + -20x = 20 + 0
80 + -20x = 20

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

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

Combine like terms: 20 + -80 = -60
-20x = -60

Divide each side by '-20'.
x = 3

Simplifying
x = 3

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