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

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


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

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

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

Reorder the terms:
16 + -2x = 2(-3 + x)
16 + -2x = (-3 * 2 + x * 2)
16 + -2x = (-6 + 2x)

Solving
16 + -2x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + -2x + -2x = -6 + 2x + -2x

Combine like terms: -2x + -2x = -4x
16 + -4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -4x = -6 + 0
16 + -4x = -6

Add '-16' to each side of the equation.
16 + -16 + -4x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -6 + -16
-4x = -6 + -16

Combine like terms: -6 + -16 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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