0.009(8-x)+0.08(x-7)=1

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Solution for 0.009(8-x)+0.08(x-7)=1 equation: 


Simplifying
0.009(8 + -1x) + 0.08(x + -7) = 1
(8 * 0.009 + -1x * 0.009) + 0.08(x + -7) = 1
(0.072 + -0.009x) + 0.08(x + -7) = 1

Reorder the terms:
0.072 + -0.009x + 0.08(-7 + x) = 1
0.072 + -0.009x + (-7 * 0.08 + x * 0.08) = 1
0.072 + -0.009x + (-0.56 + 0.08x) = 1

Reorder the terms:
0.072 + -0.56 + -0.009x + 0.08x = 1

Combine like terms: 0.072 + -0.56 = -0.488
-0.488 + -0.009x + 0.08x = 1

Combine like terms: -0.009x + 0.08x = 0.071x
-0.488 + 0.071x = 1

Solving
-0.488 + 0.071x = 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 + 0.071x = 1 + 0.488

Combine like terms: -0.488 + 0.488 = 0.000
0.000 + 0.071x = 1 + 0.488
0.071x = 1 + 0.488

Combine like terms: 1 + 0.488 = 1.488
0.071x = 1.488

Divide each side by '0.071'.
x = 20.95774648

Simplifying
x = 20.95774648

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