0.4x+3.2=0.5x+2

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Solution for 0.4x+3.2=0.5x+2 equation: 


Simplifying
0.4x + 3.2 = 0.5x + 2

Reorder the terms:
3.2 + 0.4x = 0.5x + 2

Reorder the terms:
3.2 + 0.4x = 2 + 0.5x

Solving
3.2 + 0.4x = 2 + 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.
3.2 + 0.4x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.4x + -0.5x = -0.1x
3.2 + -0.1x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
3.2 + -0.1x = 2 + 0.0
3.2 + -0.1x = 2

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -0.1x = 2 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -0.1x = 2 + -3.2
-0.1x = 2 + -3.2

Combine like terms: 2 + -3.2 = -1.2
-0.1x = -1.2

Divide each side by '-0.1'.
x = 12

Simplifying
x = 12

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