(.1x-33)+(.4x-40)=180

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Solution for (.1x-33)+(.4x-40)=180 equation: 


Simplifying
(0.1x + -33) + (0.4x + -40) = 180

Reorder the terms:
(-33 + 0.1x) + (0.4x + -40) = 180

Remove parenthesis around (-33 + 0.1x)
-33 + 0.1x + (0.4x + -40) = 180

Reorder the terms:
-33 + 0.1x + (-40 + 0.4x) = 180

Remove parenthesis around (-40 + 0.4x)
-33 + 0.1x + -40 + 0.4x = 180

Reorder the terms:
-33 + -40 + 0.1x + 0.4x = 180

Combine like terms: -33 + -40 = -73
-73 + 0.1x + 0.4x = 180

Combine like terms: 0.1x + 0.4x = 0.5x
-73 + 0.5x = 180

Solving
-73 + 0.5x = 180

Solving for variable 'x'.

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

Add '73' to each side of the equation.
-73 + 73 + 0.5x = 180 + 73

Combine like terms: -73 + 73 = 0
0 + 0.5x = 180 + 73
0.5x = 180 + 73

Combine like terms: 180 + 73 = 253
0.5x = 253

Divide each side by '0.5'.
x = 506

Simplifying
x = 506

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