0.1(30)=0.6(60+x)-0.8x

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Solution for 0.1(30)=0.6(60+x)-0.8x equation: 


Simplifying
0.1(30) = 0.6(60 + x) + -0.8x

Multiply 0.1 * 30
3 = 0.6(60 + x) + -0.8x
3 = (60 * 0.6 + x * 0.6) + -0.8x
3 = (36 + 0.6x) + -0.8x

Combine like terms: 0.6x + -0.8x = -0.2x
3 = 36 + -0.2x

Solving
3 = 36 + -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.
3 + 0.2x = 36 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
3 + 0.2x = 36 + 0.0
3 + 0.2x = 36

Add '-3' to each side of the equation.
3 + -3 + 0.2x = 36 + -3

Combine like terms: 3 + -3 = 0
0 + 0.2x = 36 + -3
0.2x = 36 + -3

Combine like terms: 36 + -3 = 33
0.2x = 33

Divide each side by '0.2'.
x = 165

Simplifying
x = 165

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