16=0.5(x+2+(3x-10))

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Solution for 16=0.5(x+2+(3x-10)) equation: 


Simplifying
16 = 0.5(x + 2 + (3x + -10))

Reorder the terms:
16 = 0.5(x + 2 + (-10 + 3x))

Remove parenthesis around (-10 + 3x)
16 = 0.5(x + 2 + -10 + 3x)

Reorder the terms:
16 = 0.5(2 + -10 + x + 3x)

Combine like terms: 2 + -10 = -8
16 = 0.5(-8 + x + 3x)

Combine like terms: x + 3x = 4x
16 = 0.5(-8 + 4x)
16 = (-8 * 0.5 + 4x * 0.5)
16 = (-4 + 2x)

Solving
16 = -4 + 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.
16 + -2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -2x = -4 + 0
16 + -2x = -4

Add '-16' to each side of the equation.
16 + -16 + -2x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -4 + -16
-2x = -4 + -16

Combine like terms: -4 + -16 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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