x(0.8)+4(0.2)=(4+x)0.5

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Solution for x(0.8)+4(0.2)=(4+x)0.5 equation: 


Simplifying
x(0.8) + 4(0.2) = (4 + x) * 0.5

Reorder the terms for easier multiplication:
0.8x + 4(0.2) = (4 + x) * 0.5

Multiply 4 * 0.2
0.8x + 0.8 = (4 + x) * 0.5

Reorder the terms:
0.8 + 0.8x = (4 + x) * 0.5

Reorder the terms for easier multiplication:
0.8 + 0.8x = 0.5(4 + x)
0.8 + 0.8x = (4 * 0.5 + x * 0.5)
0.8 + 0.8x = (2 + 0.5x)

Solving
0.8 + 0.8x = 2 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0.8 + 0.8x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.8x + -0.5x = 0.3x
0.8 + 0.3x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.8 + 0.3x = 2 + 0.0
0.8 + 0.3x = 2

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.3x = 2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.3x = 2 + -0.8
0.3x = 2 + -0.8

Combine like terms: 2 + -0.8 = 1.2
0.3x = 1.2

Divide each side by '0.3'.
x = 4

Simplifying
x = 4

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