16*(x+4)=20*(x+2)

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Solution for 16*(x+4)=20*(x+2) equation:


Simplifying
16(x + 4) = 20(x + 2)

Reorder the terms:
16(4 + x) = 20(x + 2)
(4 * 16 + x * 16) = 20(x + 2)
(64 + 16x) = 20(x + 2)

Reorder the terms:
64 + 16x = 20(2 + x)
64 + 16x = (2 * 20 + x * 20)
64 + 16x = (40 + 20x)

Solving
64 + 16x = 40 + 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.
64 + 16x + -20x = 40 + 20x + -20x

Combine like terms: 16x + -20x = -4x
64 + -4x = 40 + 20x + -20x

Combine like terms: 20x + -20x = 0
64 + -4x = 40 + 0
64 + -4x = 40

Add '-64' to each side of the equation.
64 + -64 + -4x = 40 + -64

Combine like terms: 64 + -64 = 0
0 + -4x = 40 + -64
-4x = 40 + -64

Combine like terms: 40 + -64 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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