0.2(80)=0.40(50+x)-0.6x

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Solution for 0.2(80)=0.40(50+x)-0.6x equation: 


Simplifying
0.2(80) = 0.40(50 + x) + -0.6x

Multiply 0.2 * 80
16 = 0.40(50 + x) + -0.6x
16 = (50 * 0.40 + x * 0.40) + -0.6x
16 = (20 + 0.40x) + -0.6x

Combine like terms: 0.40x + -0.6x = -0.2x
16 = 20 + -0.2x

Solving
16 = 20 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
16 + 0.2x = 20 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
16 + 0.2x = 20 + 0.0
16 + 0.2x = 20

Add '-16' to each side of the equation.
16 + -16 + 0.2x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 0.2x = 20 + -16
0.2x = 20 + -16

Combine like terms: 20 + -16 = 4
0.2x = 4

Divide each side by '0.2'.
x = 20

Simplifying
x = 20

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