2(x-2)-16=20-3x

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Solution for 2(x-2)-16=20-3x equation:


Simplifying
2(x + -2) + -16 = 20 + -3x

Reorder the terms:
2(-2 + x) + -16 = 20 + -3x
(-2 * 2 + x * 2) + -16 = 20 + -3x
(-4 + 2x) + -16 = 20 + -3x

Reorder the terms:
-4 + -16 + 2x = 20 + -3x

Combine like terms: -4 + -16 = -20
-20 + 2x = 20 + -3x

Solving
-20 + 2x = 20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 2x + 3x = 20 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-20 + 5x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 5x = 20 + 0
-20 + 5x = 20

Add '20' to each side of the equation.
-20 + 20 + 5x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 20 + 20
5x = 20 + 20

Combine like terms: 20 + 20 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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