20(x-2)=12(x+2)

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Solution for 20(x-2)=12(x+2) equation:


Simplifying
20(x + -2) = 12(x + 2)

Reorder the terms:
20(-2 + x) = 12(x + 2)
(-2 * 20 + x * 20) = 12(x + 2)
(-40 + 20x) = 12(x + 2)

Reorder the terms:
-40 + 20x = 12(2 + x)
-40 + 20x = (2 * 12 + x * 12)
-40 + 20x = (24 + 12x)

Solving
-40 + 20x = 24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-40 + 20x + -12x = 24 + 12x + -12x

Combine like terms: 20x + -12x = 8x
-40 + 8x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-40 + 8x = 24 + 0
-40 + 8x = 24

Add '40' to each side of the equation.
-40 + 40 + 8x = 24 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = 24 + 40
8x = 24 + 40

Combine like terms: 24 + 40 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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