.85x+0.05(20-x)=0.10(-6)

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Solution for .85x+0.05(20-x)=0.10(-6) equation:


Simplifying
0.85x + 0.05(20 + -1x) = 0.10(-6)
0.85x + (20 * 0.05 + -1x * 0.05) = 0.10(-6)
0.85x + (1 + -0.05x) = 0.10(-6)

Reorder the terms:
1 + 0.85x + -0.05x = 0.10(-6)

Combine like terms: 0.85x + -0.05x = 0.8x
1 + 0.8x = 0.10(-6)

Multiply 0.10 * -6
1 + 0.8x = -0.6

Solving
1 + 0.8x = -0.6

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.8x = -0.6 + -1

Combine like terms: 1 + -1 = 0
0 + 0.8x = -0.6 + -1
0.8x = -0.6 + -1

Combine like terms: -0.6 + -1 = -1.6
0.8x = -1.6

Divide each side by '0.8'.
x = -2

Simplifying
x = -2

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