36=.5*(3X-2)-(X+6)

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Solution for 36=.5*(3X-2)-(X+6) equation:


Simplifying
36 = 0.5(3X + -2) + -1(X + 6)

Reorder the terms:
36 = 0.5(-2 + 3X) + -1(X + 6)
36 = (-2 * 0.5 + 3X * 0.5) + -1(X + 6)
36 = (-1 + 1.5X) + -1(X + 6)

Reorder the terms:
36 = -1 + 1.5X + -1(6 + X)
36 = -1 + 1.5X + (6 * -1 + X * -1)
36 = -1 + 1.5X + (-6 + -1X)

Reorder the terms:
36 = -1 + -6 + 1.5X + -1X

Combine like terms: -1 + -6 = -7
36 = -7 + 1.5X + -1X

Combine like terms: 1.5X + -1X = 0.5X
36 = -7 + 0.5X

Solving
36 = -7 + 0.5X

Solving for variable 'X'.

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

Add '-0.5X' to each side of the equation.
36 + -0.5X = -7 + 0.5X + -0.5X

Combine like terms: 0.5X + -0.5X = 0.0
36 + -0.5X = -7 + 0.0
36 + -0.5X = -7

Add '-36' to each side of the equation.
36 + -36 + -0.5X = -7 + -36

Combine like terms: 36 + -36 = 0
0 + -0.5X = -7 + -36
-0.5X = -7 + -36

Combine like terms: -7 + -36 = -43
-0.5X = -43

Divide each side by '-0.5'.
X = 86

Simplifying
X = 86

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