36-(8-X)=X+2-(5-X)

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Solution for 36-(8-X)=X+2-(5-X) equation:


Simplifying
36 + -1(8 + -1X) = X + 2 + -1(5 + -1X)
36 + (8 * -1 + -1X * -1) = X + 2 + -1(5 + -1X)
36 + (-8 + 1X) = X + 2 + -1(5 + -1X)

Combine like terms: 36 + -8 = 28
28 + 1X = X + 2 + -1(5 + -1X)
28 + 1X = X + 2 + (5 * -1 + -1X * -1)
28 + 1X = X + 2 + (-5 + 1X)

Reorder the terms:
28 + 1X = 2 + -5 + X + 1X

Combine like terms: 2 + -5 = -3
28 + 1X = -3 + X + 1X

Combine like terms: X + 1X = 2X
28 + 1X = -3 + 2X

Solving
28 + 1X = -3 + 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.
28 + 1X + -2X = -3 + 2X + -2X

Combine like terms: 1X + -2X = -1X
28 + -1X = -3 + 2X + -2X

Combine like terms: 2X + -2X = 0
28 + -1X = -3 + 0
28 + -1X = -3

Add '-28' to each side of the equation.
28 + -28 + -1X = -3 + -28

Combine like terms: 28 + -28 = 0
0 + -1X = -3 + -28
-1X = -3 + -28

Combine like terms: -3 + -28 = -31
-1X = -31

Divide each side by '-1'.
X = 31

Simplifying
X = 31

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