0.4(2x-72)=-0.8(x-3)

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Solution for 0.4(2x-72)=-0.8(x-3) equation: 


Simplifying
0.4(2x + -72) = -0.8(x + -3)

Reorder the terms:
0.4(-72 + 2x) = -0.8(x + -3)
(-72 * 0.4 + 2x * 0.4) = -0.8(x + -3)
(-28.8 + 0.8x) = -0.8(x + -3)

Reorder the terms:
-28.8 + 0.8x = -0.8(-3 + x)
-28.8 + 0.8x = (-3 * -0.8 + x * -0.8)
-28.8 + 0.8x = (2.4 + -0.8x)

Solving
-28.8 + 0.8x = 2.4 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-28.8 + 0.8x + 0.8x = 2.4 + -0.8x + 0.8x

Combine like terms: 0.8x + 0.8x = 1.6x
-28.8 + 1.6x = 2.4 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-28.8 + 1.6x = 2.4 + 0.0
-28.8 + 1.6x = 2.4

Add '28.8' to each side of the equation.
-28.8 + 28.8 + 1.6x = 2.4 + 28.8

Combine like terms: -28.8 + 28.8 = 0.0
0.0 + 1.6x = 2.4 + 28.8
1.6x = 2.4 + 28.8

Combine like terms: 2.4 + 28.8 = 31.2
1.6x = 31.2

Divide each side by '1.6'.
x = 19.5

Simplifying
x = 19.5

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