0.2(50)=0.6(50+x)-1.0x

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Solution for 0.2(50)=0.6(50+x)-1.0x equation: 


Simplifying
0.2(50) = 0.6(50 + x) + -1.0x

Multiply 0.2 * 50
10 = 0.6(50 + x) + -1.0x
10 = (50 * 0.6 + x * 0.6) + -1.0x
10 = (30 + 0.6x) + -1.0x

Combine like terms: 0.6x + -1.0x = -0.4x
10 = 30 + -0.4x

Solving
10 = 30 + -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.
10 + 0.4x = 30 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
10 + 0.4x = 30 + 0.0
10 + 0.4x = 30

Add '-10' to each side of the equation.
10 + -10 + 0.4x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 0.4x = 30 + -10
0.4x = 30 + -10

Combine like terms: 30 + -10 = 20
0.4x = 20

Divide each side by '0.4'.
x = 50

Simplifying
x = 50

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