5.4+14.6-10.1x=12.8-3.5x-0.6

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Solution for 5.4+14.6-10.1x=12.8-3.5x-0.6 equation:


Simplifying
5.4 + 14.6 + -10.1x = 12.8 + -3.5x + -0.6

Combine like terms: 5.4 + 14.6 = 20
20 + -10.1x = 12.8 + -3.5x + -0.6

Reorder the terms:
20 + -10.1x = 12.8 + -0.6 + -3.5x

Combine like terms: 12.8 + -0.6 = 12.2
20 + -10.1x = 12.2 + -3.5x

Solving
20 + -10.1x = 12.2 + -3.5x

Solving for variable 'x'.

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

Add '3.5x' to each side of the equation.
20 + -10.1x + 3.5x = 12.2 + -3.5x + 3.5x

Combine like terms: -10.1x + 3.5x = -6.6x
20 + -6.6x = 12.2 + -3.5x + 3.5x

Combine like terms: -3.5x + 3.5x = 0.0
20 + -6.6x = 12.2 + 0.0
20 + -6.6x = 12.2

Add '-20' to each side of the equation.
20 + -20 + -6.6x = 12.2 + -20

Combine like terms: 20 + -20 = 0
0 + -6.6x = 12.2 + -20
-6.6x = 12.2 + -20

Combine like terms: 12.2 + -20 = -7.8
-6.6x = -7.8

Divide each side by '-6.6'.
x = 1.181818182

Simplifying
x = 1.181818182

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