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

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


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

Reorder the terms:
20 + -2(-4 + x) = 3(x + 4)
20 + (-4 * -2 + x * -2) = 3(x + 4)
20 + (8 + -2x) = 3(x + 4)

Combine like terms: 20 + 8 = 28
28 + -2x = 3(x + 4)

Reorder the terms:
28 + -2x = 3(4 + x)
28 + -2x = (4 * 3 + x * 3)
28 + -2x = (12 + 3x)

Solving
28 + -2x = 12 + 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.
28 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
28 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + -5x = 12 + 0
28 + -5x = 12

Add '-28' to each side of the equation.
28 + -28 + -5x = 12 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 12 + -28
-5x = 12 + -28

Combine like terms: 12 + -28 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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