.003(6-x)+.05(x-5)=1

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Solution for .003(6-x)+.05(x-5)=1 equation: 


Simplifying
0.003(6 + -1x) + 0.05(x + -5) = 1
(6 * 0.003 + -1x * 0.003) + 0.05(x + -5) = 1
(0.018 + -0.003x) + 0.05(x + -5) = 1

Reorder the terms:
0.018 + -0.003x + 0.05(-5 + x) = 1
0.018 + -0.003x + (-5 * 0.05 + x * 0.05) = 1
0.018 + -0.003x + (-0.25 + 0.05x) = 1

Reorder the terms:
0.018 + -0.25 + -0.003x + 0.05x = 1

Combine like terms: 0.018 + -0.25 = -0.232
-0.232 + -0.003x + 0.05x = 1

Combine like terms: -0.003x + 0.05x = 0.047x
-0.232 + 0.047x = 1

Solving
-0.232 + 0.047x = 1

Solving for variable 'x'.

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

Add '0.232' to each side of the equation.
-0.232 + 0.232 + 0.047x = 1 + 0.232

Combine like terms: -0.232 + 0.232 = 0.000
0.000 + 0.047x = 1 + 0.232
0.047x = 1 + 0.232

Combine like terms: 1 + 0.232 = 1.232
0.047x = 1.232

Divide each side by '0.047'.
x = 26.21276596

Simplifying
x = 26.21276596

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