.333(6x+24)-20=-.50(4y-8)

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Solution for .333(6x+24)-20=-.50(4y-8) equation:


Simplifying
0.333(6x + 24) + -20 = -0.50(4y + -8)

Reorder the terms:
0.333(24 + 6x) + -20 = -0.50(4y + -8)
(24 * 0.333 + 6x * 0.333) + -20 = -0.50(4y + -8)
(7.992 + 1.998x) + -20 = -0.50(4y + -8)

Reorder the terms:
7.992 + -20 + 1.998x = -0.50(4y + -8)

Combine like terms: 7.992 + -20 = -12.008
-12.008 + 1.998x = -0.50(4y + -8)

Reorder the terms:
-12.008 + 1.998x = -0.50(-8 + 4y)
-12.008 + 1.998x = (-8 * -0.50 + 4y * -0.50)
-12.008 + 1.998x = (4 + -2y)

Solving
-12.008 + 1.998x = 4 + -2y

Solving for variable 'x'.

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

Add '12.008' to each side of the equation.
-12.008 + 12.008 + 1.998x = 4 + 12.008 + -2y

Combine like terms: -12.008 + 12.008 = 0.000
0.000 + 1.998x = 4 + 12.008 + -2y
1.998x = 4 + 12.008 + -2y

Combine like terms: 4 + 12.008 = 16.008
1.998x = 16.008 + -2y

Divide each side by '1.998'.
x = 8.012012012 + -1.001001001y

Simplifying
x = 8.012012012 + -1.001001001y

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