0.2(30)=0.4(50+x)-0.6x

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Solution for 0.2(30)=0.4(50+x)-0.6x equation: 


Simplifying
0.2(30) = 0.4(50 + x) + -0.6x

Multiply 0.2 * 30
6 = 0.4(50 + x) + -0.6x
6 = (50 * 0.4 + x * 0.4) + -0.6x
6 = (20 + 0.4x) + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
6 = 20 + -0.2x

Solving
6 = 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.
6 + 0.2x = 20 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
6 + 0.2x = 20 + 0.0
6 + 0.2x = 20

Add '-6' to each side of the equation.
6 + -6 + 0.2x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 0.2x = 20 + -6
0.2x = 20 + -6

Combine like terms: 20 + -6 = 14
0.2x = 14

Divide each side by '0.2'.
x = 70

Simplifying
x = 70

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