2.1x-3.2=-8.4x-45.2

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


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

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

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

Solving
-3.2 + 2.1x = -45.2 + -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.
-3.2 + 2.1x + 8.4x = -45.2 + -8.4x + 8.4x

Combine like terms: 2.1x + 8.4x = 10.5x
-3.2 + 10.5x = -45.2 + -8.4x + 8.4x

Combine like terms: -8.4x + 8.4x = 0.0
-3.2 + 10.5x = -45.2 + 0.0
-3.2 + 10.5x = -45.2

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 10.5x = -45.2 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 10.5x = -45.2 + 3.2
10.5x = -45.2 + 3.2

Combine like terms: -45.2 + 3.2 = -42
10.5x = -42

Divide each side by '10.5'.
x = -4

Simplifying
x = -4

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