.2x+.6(x+20)=-8+.4x

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Solution for .2x+.6(x+20)=-8+.4x equation: 


Simplifying
0.2x + 0.6(x + 20) = -8 + 0.4x

Reorder the terms:
0.2x + 0.6(20 + x) = -8 + 0.4x
0.2x + (20 * 0.6 + x * 0.6) = -8 + 0.4x
0.2x + (12 + 0.6x) = -8 + 0.4x

Reorder the terms:
12 + 0.2x + 0.6x = -8 + 0.4x

Combine like terms: 0.2x + 0.6x = 0.8x
12 + 0.8x = -8 + 0.4x

Solving
12 + 0.8x = -8 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
12 + 0.8x + -0.4x = -8 + 0.4x + -0.4x

Combine like terms: 0.8x + -0.4x = 0.4x
12 + 0.4x = -8 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
12 + 0.4x = -8 + 0.0
12 + 0.4x = -8

Add '-12' to each side of the equation.
12 + -12 + 0.4x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 0.4x = -8 + -12
0.4x = -8 + -12

Combine like terms: -8 + -12 = -20
0.4x = -20

Divide each side by '0.4'.
x = -50

Simplifying
x = -50

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