0.6(x+20)+80(x-10)=46

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Solution for 0.6(x+20)+80(x-10)=46 equation: 


Simplifying
0.6(x + 20) + 80(x + -10) = 46

Reorder the terms:
0.6(20 + x) + 80(x + -10) = 46
(20 * 0.6 + x * 0.6) + 80(x + -10) = 46
(12 + 0.6x) + 80(x + -10) = 46

Reorder the terms:
12 + 0.6x + 80(-10 + x) = 46
12 + 0.6x + (-10 * 80 + x * 80) = 46
12 + 0.6x + (-800 + 80x) = 46

Reorder the terms:
12 + -800 + 0.6x + 80x = 46

Combine like terms: 12 + -800 = -788
-788 + 0.6x + 80x = 46

Combine like terms: 0.6x + 80x = 80.6x
-788 + 80.6x = 46

Solving
-788 + 80.6x = 46

Solving for variable 'x'.

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

Add '788' to each side of the equation.
-788 + 788 + 80.6x = 46 + 788

Combine like terms: -788 + 788 = 0
0 + 80.6x = 46 + 788
80.6x = 46 + 788

Combine like terms: 46 + 788 = 834
80.6x = 834

Divide each side by '80.6'.
x = 10.34739454

Simplifying
x = 10.34739454

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