0.2(4x-72)=-0.4(x-6)

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Solution for 0.2(4x-72)=-0.4(x-6) equation: 


Simplifying
0.2(4x + -72) = -0.4(x + -6)

Reorder the terms:
0.2(-72 + 4x) = -0.4(x + -6)
(-72 * 0.2 + 4x * 0.2) = -0.4(x + -6)
(-14.4 + 0.8x) = -0.4(x + -6)

Reorder the terms:
-14.4 + 0.8x = -0.4(-6 + x)
-14.4 + 0.8x = (-6 * -0.4 + x * -0.4)
-14.4 + 0.8x = (2.4 + -0.4x)

Solving
-14.4 + 0.8x = 2.4 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-14.4 + 0.8x + 0.4x = 2.4 + -0.4x + 0.4x

Combine like terms: 0.8x + 0.4x = 1.2x
-14.4 + 1.2x = 2.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-14.4 + 1.2x = 2.4 + 0.0
-14.4 + 1.2x = 2.4

Add '14.4' to each side of the equation.
-14.4 + 14.4 + 1.2x = 2.4 + 14.4

Combine like terms: -14.4 + 14.4 = 0.0
0.0 + 1.2x = 2.4 + 14.4
1.2x = 2.4 + 14.4

Combine like terms: 2.4 + 14.4 = 16.8
1.2x = 16.8

Divide each side by '1.2'.
x = 14

Simplifying
x = 14

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