0.3x-0.4=0.2x+6

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Solution for 0.3x-0.4=0.2x+6 equation: 


Simplifying
0.3x + -0.4 = 0.2x + 6

Reorder the terms:
-0.4 + 0.3x = 0.2x + 6

Reorder the terms:
-0.4 + 0.3x = 6 + 0.2x

Solving
-0.4 + 0.3x = 6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-0.4 + 0.3x + -0.2x = 6 + 0.2x + -0.2x

Combine like terms: 0.3x + -0.2x = 0.1x
-0.4 + 0.1x = 6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.4 + 0.1x = 6 + 0.0
-0.4 + 0.1x = 6

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.1x = 6 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.1x = 6 + 0.4
0.1x = 6 + 0.4

Combine like terms: 6 + 0.4 = 6.4
0.1x = 6.4

Divide each side by '0.1'.
x = 64

Simplifying
x = 64

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