0.5(6+4x)-0.25(8x-12)=0.5(2x-4)

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Solution for 0.5(6+4x)-0.25(8x-12)=0.5(2x-4) equation:


Simplifying
0.5(6 + 4x) + -0.25(8x + -12) = 0.5(2x + -4)
(6 * 0.5 + 4x * 0.5) + -0.25(8x + -12) = 0.5(2x + -4)
(3 + 2x) + -0.25(8x + -12) = 0.5(2x + -4)

Reorder the terms:
3 + 2x + -0.25(-12 + 8x) = 0.5(2x + -4)
3 + 2x + (-12 * -0.25 + 8x * -0.25) = 0.5(2x + -4)
3 + 2x + (3 + -2x) = 0.5(2x + -4)

Reorder the terms:
3 + 3 + 2x + -2x = 0.5(2x + -4)

Combine like terms: 3 + 3 = 6
6 + 2x + -2x = 0.5(2x + -4)

Combine like terms: 2x + -2x = 0
6 + 0 = 0.5(2x + -4)
6 = 0.5(2x + -4)

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

Solving
6 = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -1x = -2 + 1x + -1x

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

Add '-6' to each side of the equation.
6 + -6 + -1x = -2 + -6

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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