.2x+1.3=.9x-.8

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Solution for .2x+1.3=.9x-.8 equation: 


Simplifying
0.2x + 1.3 = 0.9x + -0.8

Reorder the terms:
1.3 + 0.2x = 0.9x + -0.8

Reorder the terms:
1.3 + 0.2x = -0.8 + 0.9x

Solving
1.3 + 0.2x = -0.8 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
1.3 + 0.2x + -0.9x = -0.8 + 0.9x + -0.9x

Combine like terms: 0.2x + -0.9x = -0.7x
1.3 + -0.7x = -0.8 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
1.3 + -0.7x = -0.8 + 0.0
1.3 + -0.7x = -0.8

Add '-1.3' to each side of the equation.
1.3 + -1.3 + -0.7x = -0.8 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -0.7x = -0.8 + -1.3
-0.7x = -0.8 + -1.3

Combine like terms: -0.8 + -1.3 = -2.1
-0.7x = -2.1

Divide each side by '-0.7'.
x = 3

Simplifying
x = 3

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