0.2(80)=0.4(80+x)-0.8

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Solution for 0.2(80)=0.4(80+x)-0.8 equation: 


Simplifying
0.2(80) = 0.4(80 + x) + -0.8

Multiply 0.2 * 80
16 = 0.4(80 + x) + -0.8
16 = (80 * 0.4 + x * 0.4) + -0.8
16 = (32 + 0.4x) + -0.8

Reorder the terms:
16 = 32 + -0.8 + 0.4x

Combine like terms: 32 + -0.8 = 31.2
16 = 31.2 + 0.4x

Solving
16 = 31.2 + 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.
16 + -0.4x = 31.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
16 + -0.4x = 31.2 + 0.0
16 + -0.4x = 31.2

Add '-16' to each side of the equation.
16 + -16 + -0.4x = 31.2 + -16

Combine like terms: 16 + -16 = 0
0 + -0.4x = 31.2 + -16
-0.4x = 31.2 + -16

Combine like terms: 31.2 + -16 = 15.2
-0.4x = 15.2

Divide each side by '-0.4'.
x = -38

Simplifying
x = -38

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