2.1x+45.2=3.2-8.4x+2.1

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Solution for 2.1x+45.2=3.2-8.4x+2.1 equation: 


Simplifying
2.1x + 45.2 = 3.2 + -8.4x + 2.1

Reorder the terms:
45.2 + 2.1x = 3.2 + -8.4x + 2.1

Reorder the terms:
45.2 + 2.1x = 3.2 + 2.1 + -8.4x

Combine like terms: 3.2 + 2.1 = 5.3
45.2 + 2.1x = 5.3 + -8.4x

Solving
45.2 + 2.1x = 5.3 + -8.4x

Solving for variable 'x'.

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

Add '8.4x' to each side of the equation.
45.2 + 2.1x + 8.4x = 5.3 + -8.4x + 8.4x

Combine like terms: 2.1x + 8.4x = 10.5x
45.2 + 10.5x = 5.3 + -8.4x + 8.4x

Combine like terms: -8.4x + 8.4x = 0.0
45.2 + 10.5x = 5.3 + 0.0
45.2 + 10.5x = 5.3

Add '-45.2' to each side of the equation.
45.2 + -45.2 + 10.5x = 5.3 + -45.2

Combine like terms: 45.2 + -45.2 = 0.0
0.0 + 10.5x = 5.3 + -45.2
10.5x = 5.3 + -45.2

Combine like terms: 5.3 + -45.2 = -39.9
10.5x = -39.9

Divide each side by '10.5'.
x = -3.8

Simplifying
x = -3.8

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