.75x+6.34=.2x-8.42

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Solution for .75x+6.34=.2x-8.42 equation: 


Simplifying
0.75x + 6.34 = 0.2x + -8.42

Reorder the terms:
6.34 + 0.75x = 0.2x + -8.42

Reorder the terms:
6.34 + 0.75x = -8.42 + 0.2x

Solving
6.34 + 0.75x = -8.42 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
6.34 + 0.75x + -0.2x = -8.42 + 0.2x + -0.2x

Combine like terms: 0.75x + -0.2x = 0.55x
6.34 + 0.55x = -8.42 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
6.34 + 0.55x = -8.42 + 0.0
6.34 + 0.55x = -8.42

Add '-6.34' to each side of the equation.
6.34 + -6.34 + 0.55x = -8.42 + -6.34

Combine like terms: 6.34 + -6.34 = 0.00
0.00 + 0.55x = -8.42 + -6.34
0.55x = -8.42 + -6.34

Combine like terms: -8.42 + -6.34 = -14.76
0.55x = -14.76

Divide each side by '0.55'.
x = -26.83636364

Simplifying
x = -26.83636364

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