5.5x+4.2=1.5x-6.8

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Solution for 5.5x+4.2=1.5x-6.8 equation: 


Simplifying
5.5x + 4.2 = 1.5x + -6.8

Reorder the terms:
4.2 + 5.5x = 1.5x + -6.8

Reorder the terms:
4.2 + 5.5x = -6.8 + 1.5x

Solving
4.2 + 5.5x = -6.8 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
4.2 + 5.5x + -1.5x = -6.8 + 1.5x + -1.5x

Combine like terms: 5.5x + -1.5x = 4x
4.2 + 4x = -6.8 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
4.2 + 4x = -6.8 + 0.0
4.2 + 4x = -6.8

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 4x = -6.8 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 4x = -6.8 + -4.2
4x = -6.8 + -4.2

Combine like terms: -6.8 + -4.2 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75

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