0.80x+0.05(16-x)=0.10(-52)

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Solution for 0.80x+0.05(16-x)=0.10(-52) equation: 


Simplifying
0.80x + 0.05(16 + -1x) = 0.10(-52)
0.80x + (16 * 0.05 + -1x * 0.05) = 0.10(-52)
0.80x + (0.8 + -0.05x) = 0.10(-52)

Reorder the terms:
0.8 + 0.80x + -0.05x = 0.10(-52)

Combine like terms: 0.80x + -0.05x = 0.75x
0.8 + 0.75x = 0.10(-52)

Multiply 0.10 * -52
0.8 + 0.75x = -5.2

Solving
0.8 + 0.75x = -5.2

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 + 0.75x = -5.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.75x = -5.2 + -0.8
0.75x = -5.2 + -0.8

Combine like terms: -5.2 + -0.8 = -6
0.75x = -6

Divide each side by '0.75'.
x = -8

Simplifying
x = -8

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