0.4x+0.2(40)=0.1(x+20)

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Solution for 0.4x+0.2(40)=0.1(x+20) equation: 


Simplifying
0.4x + 0.2(40) = 0.1(x + 20)

Multiply 0.2 * 40
0.4x + 8 = 0.1(x + 20)

Reorder the terms:
8 + 0.4x = 0.1(x + 20)

Reorder the terms:
8 + 0.4x = 0.1(20 + x)
8 + 0.4x = (20 * 0.1 + x * 0.1)
8 + 0.4x = (2 + 0.1x)

Solving
8 + 0.4x = 2 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
8 + 0.4x + -0.1x = 2 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
8 + 0.3x = 2 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
8 + 0.3x = 2 + 0.0
8 + 0.3x = 2

Add '-8' to each side of the equation.
8 + -8 + 0.3x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 0.3x = 2 + -8
0.3x = 2 + -8

Combine like terms: 2 + -8 = -6
0.3x = -6

Divide each side by '0.3'.
x = -20

Simplifying
x = -20

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