2(x-0.1)=3(0.3-x)

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Solution for 2(x-0.1)=3(0.3-x) equation: 


Simplifying
2(x + -0.1) = 3(0.3 + -1x)

Reorder the terms:
2(-0.1 + x) = 3(0.3 + -1x)
(-0.1 * 2 + x * 2) = 3(0.3 + -1x)
(-0.2 + 2x) = 3(0.3 + -1x)
-0.2 + 2x = (0.3 * 3 + -1x * 3)
-0.2 + 2x = (0.9 + -3x)

Solving
-0.2 + 2x = 0.9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-0.2 + 2x + 3x = 0.9 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-0.2 + 5x = 0.9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-0.2 + 5x = 0.9 + 0
-0.2 + 5x = 0.9

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 5x = 0.9 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 5x = 0.9 + 0.2
5x = 0.9 + 0.2

Combine like terms: 0.9 + 0.2 = 1.1
5x = 1.1

Divide each side by '5'.
x = 0.22

Simplifying
x = 0.22

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