.1(x+.5)+.2x=.3(x-.4)

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Solution for .1(x+.5)+.2x=.3(x-.4) equation: 


Simplifying
0.1(x + 0.5) + 0.2x = 0.3(x + -0.4)

Reorder the terms:
0.1(0.5 + x) + 0.2x = 0.3(x + -0.4)
(0.5 * 0.1 + x * 0.1) + 0.2x = 0.3(x + -0.4)
(0.05 + 0.1x) + 0.2x = 0.3(x + -0.4)

Combine like terms: 0.1x + 0.2x = 0.3x
0.05 + 0.3x = 0.3(x + -0.4)

Reorder the terms:
0.05 + 0.3x = 0.3(-0.4 + x)
0.05 + 0.3x = (-0.4 * 0.3 + x * 0.3)
0.05 + 0.3x = (-0.12 + 0.3x)

Add '-0.3x' to each side of the equation.
0.05 + 0.3x + -0.3x = -0.12 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.05 + 0.0 = -0.12 + 0.3x + -0.3x
0.05 = -0.12 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.05 = -0.12 + 0.0
0.05 = -0.12

Solving
0.05 = -0.12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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