2.1x-3=0.5x+0.2

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Solution for 2.1x-3=0.5x+0.2 equation: 


Simplifying
2.1x + -3 = 0.5x + 0.2

Reorder the terms:
-3 + 2.1x = 0.5x + 0.2

Reorder the terms:
-3 + 2.1x = 0.2 + 0.5x

Solving
-3 + 2.1x = 0.2 + 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 + 2.1x + -0.5x = 0.2 + 0.5x + -0.5x

Combine like terms: 2.1x + -0.5x = 1.6x
-3 + 1.6x = 0.2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-3 + 1.6x = 0.2 + 0.0
-3 + 1.6x = 0.2

Add '3' to each side of the equation.
-3 + 3 + 1.6x = 0.2 + 3

Combine like terms: -3 + 3 = 0
0 + 1.6x = 0.2 + 3
1.6x = 0.2 + 3

Combine like terms: 0.2 + 3 = 3.2
1.6x = 3.2

Divide each side by '1.6'.
x = 2

Simplifying
x = 2

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