0.3x+0.2=0.9x-1.6

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Solution for 0.3x+0.2=0.9x-1.6 equation:


Simplifying
0.3x + 0.2 = 0.9x + -1.6

Reorder the terms:
0.2 + 0.3x = 0.9x + -1.6

Reorder the terms:
0.2 + 0.3x = -1.6 + 0.9x

Solving
0.2 + 0.3x = -1.6 + 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.
0.2 + 0.3x + -0.9x = -1.6 + 0.9x + -0.9x

Combine like terms: 0.3x + -0.9x = -0.6x
0.2 + -0.6x = -1.6 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
0.2 + -0.6x = -1.6 + 0.0
0.2 + -0.6x = -1.6

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.6x = -1.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.6x = -1.6 + -0.2
-0.6x = -1.6 + -0.2

Combine like terms: -1.6 + -0.2 = -1.8
-0.6x = -1.8

Divide each side by '-0.6'.
x = 3

Simplifying
x = 3

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