0.005(1-x)+0.01(x-8)=1

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Solution for 0.005(1-x)+0.01(x-8)=1 equation: 


Simplifying
0.005(1 + -1x) + 0.01(x + -8) = 1
(1 * 0.005 + -1x * 0.005) + 0.01(x + -8) = 1
(0.005 + -0.005x) + 0.01(x + -8) = 1

Reorder the terms:
0.005 + -0.005x + 0.01(-8 + x) = 1
0.005 + -0.005x + (-8 * 0.01 + x * 0.01) = 1
0.005 + -0.005x + (-0.08 + 0.01x) = 1

Reorder the terms:
0.005 + -0.08 + -0.005x + 0.01x = 1

Combine like terms: 0.005 + -0.08 = -0.075
-0.075 + -0.005x + 0.01x = 1

Combine like terms: -0.005x + 0.01x = 0.005x
-0.075 + 0.005x = 1

Solving
-0.075 + 0.005x = 1

Solving for variable 'x'.

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

Add '0.075' to each side of the equation.
-0.075 + 0.075 + 0.005x = 1 + 0.075

Combine like terms: -0.075 + 0.075 = 0.000
0.000 + 0.005x = 1 + 0.075
0.005x = 1 + 0.075

Combine like terms: 1 + 0.075 = 1.075
0.005x = 1.075

Divide each side by '0.005'.
x = 215

Simplifying
x = 215

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