.3(6x+24)-20=-.25(12x-72)

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Solution for .3(6x+24)-20=-.25(12x-72) equation:


Simplifying
0.3(6x + 24) + -20 = -0.25(12x + -72)

Reorder the terms:
0.3(24 + 6x) + -20 = -0.25(12x + -72)
(24 * 0.3 + 6x * 0.3) + -20 = -0.25(12x + -72)
(7.2 + 1.8x) + -20 = -0.25(12x + -72)

Reorder the terms:
7.2 + -20 + 1.8x = -0.25(12x + -72)

Combine like terms: 7.2 + -20 = -12.8
-12.8 + 1.8x = -0.25(12x + -72)

Reorder the terms:
-12.8 + 1.8x = -0.25(-72 + 12x)
-12.8 + 1.8x = (-72 * -0.25 + 12x * -0.25)
-12.8 + 1.8x = (18 + -3x)

Solving
-12.8 + 1.8x = 18 + -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.
-12.8 + 1.8x + 3x = 18 + -3x + 3x

Combine like terms: 1.8x + 3x = 4.8x
-12.8 + 4.8x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12.8 + 4.8x = 18 + 0
-12.8 + 4.8x = 18

Add '12.8' to each side of the equation.
-12.8 + 12.8 + 4.8x = 18 + 12.8

Combine like terms: -12.8 + 12.8 = 0.0
0.0 + 4.8x = 18 + 12.8
4.8x = 18 + 12.8

Combine like terms: 18 + 12.8 = 30.8
4.8x = 30.8

Divide each side by '4.8'.
x = 6.416666667

Simplifying
x = 6.416666667

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