.42x+6=5.25x-.80

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Solution for .42x+6=5.25x-.80 equation:


Simplifying
0.42x + 6 = 5.25x + -0.80

Reorder the terms:
6 + 0.42x = 5.25x + -0.80

Reorder the terms:
6 + 0.42x = -0.80 + 5.25x

Solving
6 + 0.42x = -0.80 + 5.25x

Solving for variable 'x'.

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

Add '-5.25x' to each side of the equation.
6 + 0.42x + -5.25x = -0.80 + 5.25x + -5.25x

Combine like terms: 0.42x + -5.25x = -4.83x
6 + -4.83x = -0.80 + 5.25x + -5.25x

Combine like terms: 5.25x + -5.25x = 0.00
6 + -4.83x = -0.80 + 0.00
6 + -4.83x = -0.80

Add '-6' to each side of the equation.
6 + -6 + -4.83x = -0.80 + -6

Combine like terms: 6 + -6 = 0
0 + -4.83x = -0.80 + -6
-4.83x = -0.80 + -6

Combine like terms: -0.80 + -6 = -6.8
-4.83x = -6.8

Divide each side by '-4.83'.
x = 1.407867495

Simplifying
x = 1.407867495

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