0.1x+20=0.4(x+40)

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


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

Reorder the terms:
20 + 0.1x = 0.4(x + 40)

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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