2x+0.5=0.2x-3.1

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Solution for 2x+0.5=0.2x-3.1 equation: 


Simplifying
2x + 0.5 = 0.2x + -3.1

Reorder the terms:
0.5 + 2x = 0.2x + -3.1

Reorder the terms:
0.5 + 2x = -3.1 + 0.2x

Solving
0.5 + 2x = -3.1 + 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.
0.5 + 2x + -0.2x = -3.1 + 0.2x + -0.2x

Combine like terms: 2x + -0.2x = 1.8x
0.5 + 1.8x = -3.1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.5 + 1.8x = -3.1 + 0.0
0.5 + 1.8x = -3.1

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1.8x = -3.1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.8x = -3.1 + -0.5
1.8x = -3.1 + -0.5

Combine like terms: -3.1 + -0.5 = -3.6
1.8x = -3.6

Divide each side by '1.8'.
x = -2

Simplifying
x = -2

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