2(16-4x)-8=6(x+2)

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Solution for 2(16-4x)-8=6(x+2) equation:


Simplifying
2(16 + -4x) + -8 = 6(x + 2)
(16 * 2 + -4x * 2) + -8 = 6(x + 2)
(32 + -8x) + -8 = 6(x + 2)

Reorder the terms:
32 + -8 + -8x = 6(x + 2)

Combine like terms: 32 + -8 = 24
24 + -8x = 6(x + 2)

Reorder the terms:
24 + -8x = 6(2 + x)
24 + -8x = (2 * 6 + x * 6)
24 + -8x = (12 + 6x)

Solving
24 + -8x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + -8x + -6x = 12 + 6x + -6x

Combine like terms: -8x + -6x = -14x
24 + -14x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -14x = 12 + 0
24 + -14x = 12

Add '-24' to each side of the equation.
24 + -24 + -14x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + -14x = 12 + -24
-14x = 12 + -24

Combine like terms: 12 + -24 = -12
-14x = -12

Divide each side by '-14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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