5.4-0.1x=0.4x+8.4

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Solution for 5.4-0.1x=0.4x+8.4 equation: 


Simplifying
5.4 + -0.1x = 0.4x + 8.4

Reorder the terms:
5.4 + -0.1x = 8.4 + 0.4x

Solving
5.4 + -0.1x = 8.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
5.4 + -0.1x + -0.4x = 8.4 + 0.4x + -0.4x

Combine like terms: -0.1x + -0.4x = -0.5x
5.4 + -0.5x = 8.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
5.4 + -0.5x = 8.4 + 0.0
5.4 + -0.5x = 8.4

Add '-5.4' to each side of the equation.
5.4 + -5.4 + -0.5x = 8.4 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + -0.5x = 8.4 + -5.4
-0.5x = 8.4 + -5.4

Combine like terms: 8.4 + -5.4 = 3
-0.5x = 3

Divide each side by '-0.5'.
x = -6

Simplifying
x = -6

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