.2x-.5=.3x+1.5

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Solution for .2x-.5=.3x+1.5 equation: 


Simplifying
0.2x + -0.5 = 0.3x + 1.5

Reorder the terms:
-0.5 + 0.2x = 0.3x + 1.5

Reorder the terms:
-0.5 + 0.2x = 1.5 + 0.3x

Solving
-0.5 + 0.2x = 1.5 + 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 + 0.2x + -0.3x = 1.5 + 0.3x + -0.3x

Combine like terms: 0.2x + -0.3x = -0.1x
-0.5 + -0.1x = 1.5 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.5 + -0.1x = 1.5 + 0.0
-0.5 + -0.1x = 1.5

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -0.1x = 1.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -0.1x = 1.5 + 0.5
-0.1x = 1.5 + 0.5

Combine like terms: 1.5 + 0.5 = 2
-0.1x = 2

Divide each side by '-0.1'.
x = -20

Simplifying
x = -20

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