0.33(6x+24)-20=-.25(12x-73)

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Solution for 0.33(6x+24)-20=-.25(12x-73) equation:


Simplifying
0.33(6x + 24) + -20 = -0.25(12x + -73)

Reorder the terms:
0.33(24 + 6x) + -20 = -0.25(12x + -73)
(24 * 0.33 + 6x * 0.33) + -20 = -0.25(12x + -73)
(7.92 + 1.98x) + -20 = -0.25(12x + -73)

Reorder the terms:
7.92 + -20 + 1.98x = -0.25(12x + -73)

Combine like terms: 7.92 + -20 = -12.08
-12.08 + 1.98x = -0.25(12x + -73)

Reorder the terms:
-12.08 + 1.98x = -0.25(-73 + 12x)
-12.08 + 1.98x = (-73 * -0.25 + 12x * -0.25)
-12.08 + 1.98x = (18.25 + -3x)

Solving
-12.08 + 1.98x = 18.25 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12.08 + 1.98x + 3x = 18.25 + -3x + 3x

Combine like terms: 1.98x + 3x = 4.98x
-12.08 + 4.98x = 18.25 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12.08 + 4.98x = 18.25 + 0
-12.08 + 4.98x = 18.25

Add '12.08' to each side of the equation.
-12.08 + 12.08 + 4.98x = 18.25 + 12.08

Combine like terms: -12.08 + 12.08 = 0.00
0.00 + 4.98x = 18.25 + 12.08
4.98x = 18.25 + 12.08

Combine like terms: 18.25 + 12.08 = 30.33
4.98x = 30.33

Divide each side by '4.98'.
x = 6.090361446

Simplifying
x = 6.090361446

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