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

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


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

Reorder the terms:
14.6 + 5.4x + -10.1x = 12.8 + -3.5x + -0.6

Combine like terms: 5.4x + -10.1x = -4.7x
14.6 + -4.7x = 12.8 + -3.5x + -0.6

Reorder the terms:
14.6 + -4.7x = 12.8 + -0.6 + -3.5x

Combine like terms: 12.8 + -0.6 = 12.2
14.6 + -4.7x = 12.2 + -3.5x

Solving
14.6 + -4.7x = 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.
14.6 + -4.7x + 3.5x = 12.2 + -3.5x + 3.5x

Combine like terms: -4.7x + 3.5x = -1.2x
14.6 + -1.2x = 12.2 + -3.5x + 3.5x

Combine like terms: -3.5x + 3.5x = 0.0
14.6 + -1.2x = 12.2 + 0.0
14.6 + -1.2x = 12.2

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -1.2x = 12.2 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -1.2x = 12.2 + -14.6
-1.2x = 12.2 + -14.6

Combine like terms: 12.2 + -14.6 = -2.4
-1.2x = -2.4

Divide each side by '-1.2'.
x = 2

Simplifying
x = 2

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