8.2+5.1x=2.1x-1.8

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Solution for 8.2+5.1x=2.1x-1.8 equation: 


Simplifying
8.2 + 5.1x = 2.1x + -1.8

Reorder the terms:
8.2 + 5.1x = -1.8 + 2.1x

Solving
8.2 + 5.1x = -1.8 + 2.1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.1x' to each side of the equation.
8.2 + 5.1x + -2.1x = -1.8 + 2.1x + -2.1x

Combine like terms: 5.1x + -2.1x = 3x
8.2 + 3x = -1.8 + 2.1x + -2.1x

Combine like terms: 2.1x + -2.1x = 0.0
8.2 + 3x = -1.8 + 0.0
8.2 + 3x = -1.8

Add '-8.2' to each side of the equation.
8.2 + -8.2 + 3x = -1.8 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + 3x = -1.8 + -8.2
3x = -1.8 + -8.2

Combine like terms: -1.8 + -8.2 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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