(2x+8)-20=-(3x-8)

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Solution for (2x+8)-20=-(3x-8) equation:


Simplifying
(2x + 8) + -20 = -1(3x + -8)

Reorder the terms:
(8 + 2x) + -20 = -1(3x + -8)

Remove parenthesis around (8 + 2x)
8 + 2x + -20 = -1(3x + -8)

Reorder the terms:
8 + -20 + 2x = -1(3x + -8)

Combine like terms: 8 + -20 = -12
-12 + 2x = -1(3x + -8)

Reorder the terms:
-12 + 2x = -1(-8 + 3x)
-12 + 2x = (-8 * -1 + 3x * -1)
-12 + 2x = (8 + -3x)

Solving
-12 + 2x = 8 + -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.
-12 + 2x + 3x = 8 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-12 + 5x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 5x = 8 + 0
-12 + 5x = 8

Add '12' to each side of the equation.
-12 + 12 + 5x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 8 + 12
5x = 8 + 12

Combine like terms: 8 + 12 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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