0.3x-0.1=0.5-0.4(9-2x)

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Solution for 0.3x-0.1=0.5-0.4(9-2x) equation: 


Simplifying
0.3x + -0.1 = 0.5 + -0.4(9 + -2x)

Reorder the terms:
-0.1 + 0.3x = 0.5 + -0.4(9 + -2x)
-0.1 + 0.3x = 0.5 + (9 * -0.4 + -2x * -0.4)
-0.1 + 0.3x = 0.5 + (-3.6 + 0.8x)

Combine like terms: 0.5 + -3.6 = -3.1
-0.1 + 0.3x = -3.1 + 0.8x

Solving
-0.1 + 0.3x = -3.1 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-0.1 + 0.3x + -0.8x = -3.1 + 0.8x + -0.8x

Combine like terms: 0.3x + -0.8x = -0.5x
-0.1 + -0.5x = -3.1 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-0.1 + -0.5x = -3.1 + 0.0
-0.1 + -0.5x = -3.1

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.5x = -3.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.5x = -3.1 + 0.1
-0.5x = -3.1 + 0.1

Combine like terms: -3.1 + 0.1 = -3
-0.5x = -3

Divide each side by '-0.5'.
x = 6

Simplifying
x = 6

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