.5x-3.5=0.2x-0.5

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Solution for .5x-3.5=0.2x-0.5 equation: 


Simplifying
0.5x + -3.5 = 0.2x + -0.5

Reorder the terms:
-3.5 + 0.5x = 0.2x + -0.5

Reorder the terms:
-3.5 + 0.5x = -0.5 + 0.2x

Solving
-3.5 + 0.5x = -0.5 + 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.
-3.5 + 0.5x + -0.2x = -0.5 + 0.2x + -0.2x

Combine like terms: 0.5x + -0.2x = 0.3x
-3.5 + 0.3x = -0.5 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-3.5 + 0.3x = -0.5 + 0.0
-3.5 + 0.3x = -0.5

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.3x = -0.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.3x = -0.5 + 3.5
0.3x = -0.5 + 3.5

Combine like terms: -0.5 + 3.5 = 3
0.3x = 3

Divide each side by '0.3'.
x = 10

Simplifying
x = 10

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