0.4(x+0.8)=0.6(x-4.8)

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Solution for 0.4(x+0.8)=0.6(x-4.8) equation: 


Simplifying
0.4(x + 0.8) = 0.6(x + -4.8)

Reorder the terms:
0.4(0.8 + x) = 0.6(x + -4.8)
(0.8 * 0.4 + x * 0.4) = 0.6(x + -4.8)
(0.32 + 0.4x) = 0.6(x + -4.8)

Reorder the terms:
0.32 + 0.4x = 0.6(-4.8 + x)
0.32 + 0.4x = (-4.8 * 0.6 + x * 0.6)
0.32 + 0.4x = (-2.88 + 0.6x)

Solving
0.32 + 0.4x = -2.88 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.32 + 0.4x + -0.6x = -2.88 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
0.32 + -0.2x = -2.88 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.32 + -0.2x = -2.88 + 0.0
0.32 + -0.2x = -2.88

Add '-0.32' to each side of the equation.
0.32 + -0.32 + -0.2x = -2.88 + -0.32

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + -0.2x = -2.88 + -0.32
-0.2x = -2.88 + -0.32

Combine like terms: -2.88 + -0.32 = -3.2
-0.2x = -3.2

Divide each side by '-0.2'.
x = 16

Simplifying
x = 16

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