2.4x+41.4=20.4-8.1x

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Solution for 2.4x+41.4=20.4-8.1x equation: 


Simplifying
2.4x + 41.4 = 20.4 + -8.1x

Reorder the terms:
41.4 + 2.4x = 20.4 + -8.1x

Solving
41.4 + 2.4x = 20.4 + -8.1x

Solving for variable 'x'.

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

Add '8.1x' to each side of the equation.
41.4 + 2.4x + 8.1x = 20.4 + -8.1x + 8.1x

Combine like terms: 2.4x + 8.1x = 10.5x
41.4 + 10.5x = 20.4 + -8.1x + 8.1x

Combine like terms: -8.1x + 8.1x = 0.0
41.4 + 10.5x = 20.4 + 0.0
41.4 + 10.5x = 20.4

Add '-41.4' to each side of the equation.
41.4 + -41.4 + 10.5x = 20.4 + -41.4

Combine like terms: 41.4 + -41.4 = 0.0
0.0 + 10.5x = 20.4 + -41.4
10.5x = 20.4 + -41.4

Combine like terms: 20.4 + -41.4 = -21
10.5x = -21

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

Simplifying
x = -2

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