0.90x+0.05(16-x)=0.10(59)

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Solution for 0.90x+0.05(16-x)=0.10(59) equation: 


Simplifying
0.90x + 0.05(16 + -1x) = 0.10(59)
0.90x + (16 * 0.05 + -1x * 0.05) = 0.10(59)
0.90x + (0.8 + -0.05x) = 0.10(59)

Reorder the terms:
0.8 + 0.90x + -0.05x = 0.10(59)

Combine like terms: 0.90x + -0.05x = 0.85x
0.8 + 0.85x = 0.10(59)

Multiply 0.10 * 59
0.8 + 0.85x = 5.9

Solving
0.8 + 0.85x = 5.9

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.85x = 5.9 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.85x = 5.9 + -0.8
0.85x = 5.9 + -0.8

Combine like terms: 5.9 + -0.8 = 5.1
0.85x = 5.1

Divide each side by '0.85'.
x = 6

Simplifying
x = 6

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