49=0.5(X+80)+0.1X

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Solution for 49=0.5(X+80)+0.1X equation: 


Simplifying
49 = 0.5(X + 80) + 0.1X

Reorder the terms:
49 = 0.5(80 + X) + 0.1X
49 = (80 * 0.5 + X * 0.5) + 0.1X
49 = (40 + 0.5X) + 0.1X

Combine like terms: 0.5X + 0.1X = 0.6X
49 = 40 + 0.6X

Solving
49 = 40 + 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.
49 + -0.6X = 40 + 0.6X + -0.6X

Combine like terms: 0.6X + -0.6X = 0.0
49 + -0.6X = 40 + 0.0
49 + -0.6X = 40

Add '-49' to each side of the equation.
49 + -49 + -0.6X = 40 + -49

Combine like terms: 49 + -49 = 0
0 + -0.6X = 40 + -49
-0.6X = 40 + -49

Combine like terms: 40 + -49 = -9
-0.6X = -9

Divide each side by '-0.6'.
X = 15

Simplifying
X = 15

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