2.1x+45.2=24.2-8.4x

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Solution for 2.1x+45.2=24.2-8.4x equation: 


Simplifying
2.1x + 45.2 = 24.2 + -8.4x

Reorder the terms:
45.2 + 2.1x = 24.2 + -8.4x

Solving
45.2 + 2.1x = 24.2 + -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.
45.2 + 2.1x + 8.4x = 24.2 + -8.4x + 8.4x

Combine like terms: 2.1x + 8.4x = 10.5x
45.2 + 10.5x = 24.2 + -8.4x + 8.4x

Combine like terms: -8.4x + 8.4x = 0.0
45.2 + 10.5x = 24.2 + 0.0
45.2 + 10.5x = 24.2

Add '-45.2' to each side of the equation.
45.2 + -45.2 + 10.5x = 24.2 + -45.2

Combine like terms: 45.2 + -45.2 = 0.0
0.0 + 10.5x = 24.2 + -45.2
10.5x = 24.2 + -45.2

Combine like terms: 24.2 + -45.2 = -21
10.5x = -21

Divide each side by '10.5'.
x = -2

Simplifying
x = -2

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