x(0.8)+13(0.2)=(13+x)0.5

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Solution for x(0.8)+13(0.2)=(13+x)0.5 equation: 


Simplifying
x(0.8) + 13(0.2) = (13 + x) * 0.5

Reorder the terms for easier multiplication:
0.8x + 13(0.2) = (13 + x) * 0.5

Multiply 13 * 0.2
0.8x + 2.6 = (13 + x) * 0.5

Reorder the terms:
2.6 + 0.8x = (13 + x) * 0.5

Reorder the terms for easier multiplication:
2.6 + 0.8x = 0.5(13 + x)
2.6 + 0.8x = (13 * 0.5 + x * 0.5)
2.6 + 0.8x = (6.5 + 0.5x)

Solving
2.6 + 0.8x = 6.5 + 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.
2.6 + 0.8x + -0.5x = 6.5 + 0.5x + -0.5x

Combine like terms: 0.8x + -0.5x = 0.3x
2.6 + 0.3x = 6.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
2.6 + 0.3x = 6.5 + 0.0
2.6 + 0.3x = 6.5

Add '-2.6' to each side of the equation.
2.6 + -2.6 + 0.3x = 6.5 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 0.3x = 6.5 + -2.6
0.3x = 6.5 + -2.6

Combine like terms: 6.5 + -2.6 = 3.9
0.3x = 3.9

Divide each side by '0.3'.
x = 13

Simplifying
x = 13

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