0.2x+0.9=0.7x-0.1

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Solution for 0.2x+0.9=0.7x-0.1 equation: 


Simplifying
0.2x + 0.9 = 0.7x + -0.1

Reorder the terms:
0.9 + 0.2x = 0.7x + -0.1

Reorder the terms:
0.9 + 0.2x = -0.1 + 0.7x

Solving
0.9 + 0.2x = -0.1 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
0.9 + 0.2x + -0.7x = -0.1 + 0.7x + -0.7x

Combine like terms: 0.2x + -0.7x = -0.5x
0.9 + -0.5x = -0.1 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
0.9 + -0.5x = -0.1 + 0.0
0.9 + -0.5x = -0.1

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -0.5x = -0.1 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.5x = -0.1 + -0.9
-0.5x = -0.1 + -0.9

Combine like terms: -0.1 + -0.9 = -1
-0.5x = -1

Divide each side by '-0.5'.
x = 2

Simplifying
x = 2

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