3.5x+52.1=11.0-10.2x

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Solution for 3.5x+52.1=11.0-10.2x equation: 


Simplifying
3.5x + 52.1 = 11.0 + -10.2x

Reorder the terms:
52.1 + 3.5x = 11.0 + -10.2x

Solving
52.1 + 3.5x = 11.0 + -10.2x

Solving for variable 'x'.

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

Add '10.2x' to each side of the equation.
52.1 + 3.5x + 10.2x = 11.0 + -10.2x + 10.2x

Combine like terms: 3.5x + 10.2x = 13.7x
52.1 + 13.7x = 11.0 + -10.2x + 10.2x

Combine like terms: -10.2x + 10.2x = 0.0
52.1 + 13.7x = 11.0 + 0.0
52.1 + 13.7x = 11.0

Add '-52.1' to each side of the equation.
52.1 + -52.1 + 13.7x = 11.0 + -52.1

Combine like terms: 52.1 + -52.1 = 0.0
0.0 + 13.7x = 11.0 + -52.1
13.7x = 11.0 + -52.1

Combine like terms: 11.0 + -52.1 = -41.1
13.7x = -41.1

Divide each side by '13.7'.
x = -3

Simplifying
x = -3

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