0.90x+0.05(10-x)=0.10(-80)

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Solution for 0.90x+0.05(10-x)=0.10(-80) equation: 


Simplifying
0.90x + 0.05(10 + -1x) = 0.10(-80)
0.90x + (10 * 0.05 + -1x * 0.05) = 0.10(-80)
0.90x + (0.5 + -0.05x) = 0.10(-80)

Reorder the terms:
0.5 + 0.90x + -0.05x = 0.10(-80)

Combine like terms: 0.90x + -0.05x = 0.85x
0.5 + 0.85x = 0.10(-80)

Multiply 0.10 * -80
0.5 + 0.85x = -8

Solving
0.5 + 0.85x = -8

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 + 0.85x = -8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.85x = -8 + -0.5
0.85x = -8 + -0.5

Combine like terms: -8 + -0.5 = -8.5
0.85x = -8.5

Divide each side by '0.85'.
x = -10

Simplifying
x = -10

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