0.002(1-x)+0.07(x-7)=1

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Solution for 0.002(1-x)+0.07(x-7)=1 equation: 


Simplifying
0.002(1 + -1x) + 0.07(x + -7) = 1
(1 * 0.002 + -1x * 0.002) + 0.07(x + -7) = 1
(0.002 + -0.002x) + 0.07(x + -7) = 1

Reorder the terms:
0.002 + -0.002x + 0.07(-7 + x) = 1
0.002 + -0.002x + (-7 * 0.07 + x * 0.07) = 1
0.002 + -0.002x + (-0.49 + 0.07x) = 1

Reorder the terms:
0.002 + -0.49 + -0.002x + 0.07x = 1

Combine like terms: 0.002 + -0.49 = -0.488
-0.488 + -0.002x + 0.07x = 1

Combine like terms: -0.002x + 0.07x = 0.068x
-0.488 + 0.068x = 1

Solving
-0.488 + 0.068x = 1

Solving for variable 'x'.

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

Add '0.488' to each side of the equation.
-0.488 + 0.488 + 0.068x = 1 + 0.488

Combine like terms: -0.488 + 0.488 = 0.000
0.000 + 0.068x = 1 + 0.488
0.068x = 1 + 0.488

Combine like terms: 1 + 0.488 = 1.488
0.068x = 1.488

Divide each side by '0.068'.
x = 21.88235294

Simplifying
x = 21.88235294

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