0.2(x+0.4)=0.4(x-4.8)

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Solution for 0.2(x+0.4)=0.4(x-4.8) equation: 


Simplifying
0.2(x + 0.4) = 0.4(x + -4.8)

Reorder the terms:
0.2(0.4 + x) = 0.4(x + -4.8)
(0.4 * 0.2 + x * 0.2) = 0.4(x + -4.8)
(0.08 + 0.2x) = 0.4(x + -4.8)

Reorder the terms:
0.08 + 0.2x = 0.4(-4.8 + x)
0.08 + 0.2x = (-4.8 * 0.4 + x * 0.4)
0.08 + 0.2x = (-1.92 + 0.4x)

Solving
0.08 + 0.2x = -1.92 + 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.
0.08 + 0.2x + -0.4x = -1.92 + 0.4x + -0.4x

Combine like terms: 0.2x + -0.4x = -0.2x
0.08 + -0.2x = -1.92 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.08 + -0.2x = -1.92 + 0.0
0.08 + -0.2x = -1.92

Add '-0.08' to each side of the equation.
0.08 + -0.08 + -0.2x = -1.92 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + -0.2x = -1.92 + -0.08
-0.2x = -1.92 + -0.08

Combine like terms: -1.92 + -0.08 = -2
-0.2x = -2

Divide each side by '-0.2'.
x = 10

Simplifying
x = 10

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