(.1x+.8)-(.066x-.33)=1

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Solution for (.1x+.8)-(.066x-.33)=1 equation: 


Simplifying
(0.1x + 0.8) + -1(0.066x + -0.33) = 1

Reorder the terms:
(0.8 + 0.1x) + -1(0.066x + -0.33) = 1

Remove parenthesis around (0.8 + 0.1x)
0.8 + 0.1x + -1(0.066x + -0.33) = 1

Reorder the terms:
0.8 + 0.1x + -1(-0.33 + 0.066x) = 1
0.8 + 0.1x + (-0.33 * -1 + 0.066x * -1) = 1
0.8 + 0.1x + (0.33 + -0.066x) = 1

Reorder the terms:
0.8 + 0.33 + 0.1x + -0.066x = 1

Combine like terms: 0.8 + 0.33 = 1.13
1.13 + 0.1x + -0.066x = 1

Combine like terms: 0.1x + -0.066x = 0.034x
1.13 + 0.034x = 1

Solving
1.13 + 0.034x = 1

Solving for variable 'x'.

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

Add '-1.13' to each side of the equation.
1.13 + -1.13 + 0.034x = 1 + -1.13

Combine like terms: 1.13 + -1.13 = 0.00
0.00 + 0.034x = 1 + -1.13
0.034x = 1 + -1.13

Combine like terms: 1 + -1.13 = -0.13
0.034x = -0.13

Divide each side by '0.034'.
x = -3.823529412

Simplifying
x = -3.823529412

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