.002(1-x)+.08(x-1)=1

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Solution for .002(1-x)+.08(x-1)=1 equation:


Simplifying
0.002(1 + -1x) + 0.08(x + -1) = 1
(1 * 0.002 + -1x * 0.002) + 0.08(x + -1) = 1
(0.002 + -0.002x) + 0.08(x + -1) = 1

Reorder the terms:
0.002 + -0.002x + 0.08(-1 + x) = 1
0.002 + -0.002x + (-1 * 0.08 + x * 0.08) = 1
0.002 + -0.002x + (-0.08 + 0.08x) = 1

Reorder the terms:
0.002 + -0.08 + -0.002x + 0.08x = 1

Combine like terms: 0.002 + -0.08 = -0.078
-0.078 + -0.002x + 0.08x = 1

Combine like terms: -0.002x + 0.08x = 0.078x
-0.078 + 0.078x = 1

Solving
-0.078 + 0.078x = 1

Solving for variable 'x'.

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

Add '0.078' to each side of the equation.
-0.078 + 0.078 + 0.078x = 1 + 0.078

Combine like terms: -0.078 + 0.078 = 0.000
0.000 + 0.078x = 1 + 0.078
0.078x = 1 + 0.078

Combine like terms: 1 + 0.078 = 1.078
0.078x = 1.078

Divide each side by '0.078'.
x = 13.82051282

Simplifying
x = 13.82051282

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