20-4(3+x)=4(x-2)

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Solution for 20-4(3+x)=4(x-2) equation: 


Simplifying
20 + -4(3 + x) = 4(x + -2)
20 + (3 * -4 + x * -4) = 4(x + -2)
20 + (-12 + -4x) = 4(x + -2)

Combine like terms: 20 + -12 = 8
8 + -4x = 4(x + -2)

Reorder the terms:
8 + -4x = 4(-2 + x)
8 + -4x = (-2 * 4 + x * 4)
8 + -4x = (-8 + 4x)

Solving
8 + -4x = -8 + 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.
8 + -4x + -4x = -8 + 4x + -4x

Combine like terms: -4x + -4x = -8x
8 + -8x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -8x = -8 + 0
8 + -8x = -8

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

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

Combine like terms: -8 + -8 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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