0.2x-0.1=0.4-0.3(6-5x)

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Solution for 0.2x-0.1=0.4-0.3(6-5x) equation: 


Simplifying
0.2x + -0.1 = 0.4 + -0.3(6 + -5x)

Reorder the terms:
-0.1 + 0.2x = 0.4 + -0.3(6 + -5x)
-0.1 + 0.2x = 0.4 + (6 * -0.3 + -5x * -0.3)
-0.1 + 0.2x = 0.4 + (-1.8 + 1.5x)

Combine like terms: 0.4 + -1.8 = -1.4
-0.1 + 0.2x = -1.4 + 1.5x

Solving
-0.1 + 0.2x = -1.4 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-0.1 + 0.2x + -1.5x = -1.4 + 1.5x + -1.5x

Combine like terms: 0.2x + -1.5x = -1.3x
-0.1 + -1.3x = -1.4 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-0.1 + -1.3x = -1.4 + 0.0
-0.1 + -1.3x = -1.4

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -1.3x = -1.4 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -1.3x = -1.4 + 0.1
-1.3x = -1.4 + 0.1

Combine like terms: -1.4 + 0.1 = -1.3
-1.3x = -1.3

Divide each side by '-1.3'.
x = 1

Simplifying
x = 1

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