.1X+20=.4(40+X)

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Solution for .1X+20=.4(40+X) equation: 


Simplifying
0.1X + 20 = 0.4(40 + X)

Reorder the terms:
20 + 0.1X = 0.4(40 + X)
20 + 0.1X = (40 * 0.4 + X * 0.4)
20 + 0.1X = (16 + 0.4X)

Solving
20 + 0.1X = 16 + 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.
20 + 0.1X + -0.4X = 16 + 0.4X + -0.4X

Combine like terms: 0.1X + -0.4X = -0.3X
20 + -0.3X = 16 + 0.4X + -0.4X

Combine like terms: 0.4X + -0.4X = 0.0
20 + -0.3X = 16 + 0.0
20 + -0.3X = 16

Add '-20' to each side of the equation.
20 + -20 + -0.3X = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -0.3X = 16 + -20
-0.3X = 16 + -20

Combine like terms: 16 + -20 = -4
-0.3X = -4

Divide each side by '-0.3'.
X = 13.33333333

Simplifying
X = 13.33333333

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