.5(12x-4)-(x+8)=

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Solution for .5(12x-4)-(x+8)= equation:


Simplifying
0.5(12x + -4) + -1(x + 8) = 0

Reorder the terms:
0.5(-4 + 12x) + -1(x + 8) = 0
(-4 * 0.5 + 12x * 0.5) + -1(x + 8) = 0
(-2 + 6x) + -1(x + 8) = 0

Reorder the terms:
-2 + 6x + -1(8 + x) = 0
-2 + 6x + (8 * -1 + x * -1) = 0
-2 + 6x + (-8 + -1x) = 0

Reorder the terms:
-2 + -8 + 6x + -1x = 0

Combine like terms: -2 + -8 = -10
-10 + 6x + -1x = 0

Combine like terms: 6x + -1x = 5x
-10 + 5x = 0

Solving
-10 + 5x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 0 + 10
5x = 0 + 10

Combine like terms: 0 + 10 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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