0.1x+0.9(10-x)=5

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Solution for 0.1x+0.9(10-x)=5 equation: 


Simplifying
0.1x + 0.9(10 + -1x) = 5
0.1x + (10 * 0.9 + -1x * 0.9) = 5
0.1x + (9 + -0.9x) = 5

Reorder the terms:
9 + 0.1x + -0.9x = 5

Combine like terms: 0.1x + -0.9x = -0.8x
9 + -0.8x = 5

Solving
9 + -0.8x = 5

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -0.8x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -0.8x = 5 + -9
-0.8x = 5 + -9

Combine like terms: 5 + -9 = -4
-0.8x = -4

Divide each side by '-0.8'.
x = 5

Simplifying
x = 5

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