.5x-2.4=.3x+3.8

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Solution for .5x-2.4=.3x+3.8 equation: 


Simplifying
0.5x + -2.4 = 0.3x + 3.8

Reorder the terms:
-2.4 + 0.5x = 0.3x + 3.8

Reorder the terms:
-2.4 + 0.5x = 3.8 + 0.3x

Solving
-2.4 + 0.5x = 3.8 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-2.4 + 0.5x + -0.3x = 3.8 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
-2.4 + 0.2x = 3.8 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-2.4 + 0.2x = 3.8 + 0.0
-2.4 + 0.2x = 3.8

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 0.2x = 3.8 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 0.2x = 3.8 + 2.4
0.2x = 3.8 + 2.4

Combine like terms: 3.8 + 2.4 = 6.2
0.2x = 6.2

Divide each side by '0.2'.
x = 31

Simplifying
x = 31

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