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 = 12x
-80 + 12x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-80 + 12x = 20 + 0
-80 + 12x = 20

Add '80' to each side of the equation.
-80 + 80 + 12x = 20 + 80

Combine like terms: -80 + 80 = 0
0 + 12x = 20 + 80
12x = 20 + 80

Combine like terms: 20 + 80 = 100
12x = 100

Divide each side by '12'.
x = 8.333333333

Simplifying
x = 8.333333333

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