0.2(x-20)+0.6(x+20)=32

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Solution for 0.2(x-20)+0.6(x+20)=32 equation: 


Simplifying
0.2(x + -20) + 0.6(x + 20) = 32

Reorder the terms:
0.2(-20 + x) + 0.6(x + 20) = 32
(-20 * 0.2 + x * 0.2) + 0.6(x + 20) = 32
(-4 + 0.2x) + 0.6(x + 20) = 32

Reorder the terms:
-4 + 0.2x + 0.6(20 + x) = 32
-4 + 0.2x + (20 * 0.6 + x * 0.6) = 32
-4 + 0.2x + (12 + 0.6x) = 32

Reorder the terms:
-4 + 12 + 0.2x + 0.6x = 32

Combine like terms: -4 + 12 = 8
8 + 0.2x + 0.6x = 32

Combine like terms: 0.2x + 0.6x = 0.8x
8 + 0.8x = 32

Solving
8 + 0.8x = 32

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 0.8x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 0.8x = 32 + -8
0.8x = 32 + -8

Combine like terms: 32 + -8 = 24
0.8x = 24

Divide each side by '0.8'.
x = 30

Simplifying
x = 30

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