0.85x+0.05(10-x)=0.10(-59)

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Solution for 0.85x+0.05(10-x)=0.10(-59) equation: 


Simplifying
0.85x + 0.05(10 + -1x) = 0.10(-59)
0.85x + (10 * 0.05 + -1x * 0.05) = 0.10(-59)
0.85x + (0.5 + -0.05x) = 0.10(-59)

Reorder the terms:
0.5 + 0.85x + -0.05x = 0.10(-59)

Combine like terms: 0.85x + -0.05x = 0.8x
0.5 + 0.8x = 0.10(-59)

Multiply 0.10 * -59
0.5 + 0.8x = -5.9

Solving
0.5 + 0.8x = -5.9

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.8x = -5.9 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.8x = -5.9 + -0.5
0.8x = -5.9 + -0.5

Combine like terms: -5.9 + -0.5 = -6.4
0.8x = -6.4

Divide each side by '0.8'.
x = -8

Simplifying
x = -8

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