x=.5(2x-6+x-8)

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Solution for x=.5(2x-6+x-8) equation: 


Simplifying
x = 0.5(2x + -6 + x + -8)

Reorder the terms:
x = 0.5(-6 + -8 + 2x + x)

Combine like terms: -6 + -8 = -14
x = 0.5(-14 + 2x + x)

Combine like terms: 2x + x = 3x
x = 0.5(-14 + 3x)
x = (-14 * 0.5 + 3x * 0.5)
x = (-7 + 1.5x)

Solving
x = -7 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
x + -1.5x = -7 + 1.5x + -1.5x

Combine like terms: x + -1.5x = -0.5x
-0.5x = -7 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-0.5x = -7 + 0.0
-0.5x = -7

Divide each side by '-0.5'.
x = 14

Simplifying
x = 14

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