.002(7-x)+.08(x-3)=1

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Solution for .002(7-x)+.08(x-3)=1 equation: 


Simplifying
0.002(7 + -1x) + 0.08(x + -3) = 1
(7 * 0.002 + -1x * 0.002) + 0.08(x + -3) = 1
(0.014 + -0.002x) + 0.08(x + -3) = 1

Reorder the terms:
0.014 + -0.002x + 0.08(-3 + x) = 1
0.014 + -0.002x + (-3 * 0.08 + x * 0.08) = 1
0.014 + -0.002x + (-0.24 + 0.08x) = 1

Reorder the terms:
0.014 + -0.24 + -0.002x + 0.08x = 1

Combine like terms: 0.014 + -0.24 = -0.226
-0.226 + -0.002x + 0.08x = 1

Combine like terms: -0.002x + 0.08x = 0.078x
-0.226 + 0.078x = 1

Solving
-0.226 + 0.078x = 1

Solving for variable 'x'.

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

Add '0.226' to each side of the equation.
-0.226 + 0.226 + 0.078x = 1 + 0.226

Combine like terms: -0.226 + 0.226 = 0.000
0.000 + 0.078x = 1 + 0.226
0.078x = 1 + 0.226

Combine like terms: 1 + 0.226 = 1.226
0.078x = 1.226

Divide each side by '0.078'.
x = 15.71794872

Simplifying
x = 15.71794872

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