0.5(x+0.1)=0.4x

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Solution for 0.5(x+0.1)=0.4x equation: 


Simplifying
0.5(x + 0.1) = 0.4x

Reorder the terms:
0.5(0.1 + x) = 0.4x
(0.1 * 0.5 + x * 0.5) = 0.4x
(0.05 + 0.5x) = 0.4x

Solving
0.05 + 0.5x = 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.
0.05 + 0.5x + -0.4x = 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
0.05 + 0.1x = 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.05 + 0.1x = 0.0

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.1x = 0.0 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.1x = 0.0 + -0.05
0.1x = 0.0 + -0.05

Combine like terms: 0.0 + -0.05 = -0.05
0.1x = -0.05

Divide each side by '0.1'.
x = -0.5

Simplifying
x = -0.5

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