0.3x+0.6=0.5x-0.4

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Solution for 0.3x+0.6=0.5x-0.4 equation: 


Simplifying
0.3x + 0.6 = 0.5x + -0.4

Reorder the terms:
0.6 + 0.3x = 0.5x + -0.4

Reorder the terms:
0.6 + 0.3x = -0.4 + 0.5x

Solving
0.6 + 0.3x = -0.4 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0.6 + 0.3x + -0.5x = -0.4 + 0.5x + -0.5x

Combine like terms: 0.3x + -0.5x = -0.2x
0.6 + -0.2x = -0.4 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.6 + -0.2x = -0.4 + 0.0
0.6 + -0.2x = -0.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.2x = -0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.2x = -0.4 + -0.6
-0.2x = -0.4 + -0.6

Combine like terms: -0.4 + -0.6 = -1
-0.2x = -1

Divide each side by '-0.2'.
x = 5

Simplifying
x = 5

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