0.4x-0.5=0.3x+6

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Solution for 0.4x-0.5=0.3x+6 equation: 


Simplifying
0.4x + -0.5 = 0.3x + 6

Reorder the terms:
-0.5 + 0.4x = 0.3x + 6

Reorder the terms:
-0.5 + 0.4x = 6 + 0.3x

Solving
-0.5 + 0.4x = 6 + 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.
-0.5 + 0.4x + -0.3x = 6 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
-0.5 + 0.1x = 6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.5 + 0.1x = 6 + 0.0
-0.5 + 0.1x = 6

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.1x = 6 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.1x = 6 + 0.5
0.1x = 6 + 0.5

Combine like terms: 6 + 0.5 = 6.5
0.1x = 6.5

Divide each side by '0.1'.
x = 65

Simplifying
x = 65

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