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

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


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

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

Reorder the terms:
36 = 3 + 0.5x + -1(-2 + 3x)
36 = 3 + 0.5x + (-2 * -1 + 3x * -1)
36 = 3 + 0.5x + (2 + -3x)

Reorder the terms:
36 = 3 + 2 + 0.5x + -3x

Combine like terms: 3 + 2 = 5
36 = 5 + 0.5x + -3x

Combine like terms: 0.5x + -3x = -2.5x
36 = 5 + -2.5x

Solving
36 = 5 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
36 + 2.5x = 5 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
36 + 2.5x = 5 + 0.0
36 + 2.5x = 5

Add '-36' to each side of the equation.
36 + -36 + 2.5x = 5 + -36

Combine like terms: 36 + -36 = 0
0 + 2.5x = 5 + -36
2.5x = 5 + -36

Combine like terms: 5 + -36 = -31
2.5x = -31

Divide each side by '2.5'.
x = -12.4

Simplifying
x = -12.4

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