0.5(x-0.4)=0.8x+3.1

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Solution for 0.5(x-0.4)=0.8x+3.1 equation: 


Simplifying
0.5(x + -0.4) = 0.8x + 3.1

Reorder the terms:
0.5(-0.4 + x) = 0.8x + 3.1
(-0.4 * 0.5 + x * 0.5) = 0.8x + 3.1
(-0.2 + 0.5x) = 0.8x + 3.1

Reorder the terms:
-0.2 + 0.5x = 3.1 + 0.8x

Solving
-0.2 + 0.5x = 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.
-0.2 + 0.5x + -0.8x = 3.1 + 0.8x + -0.8x

Combine like terms: 0.5x + -0.8x = -0.3x
-0.2 + -0.3x = 3.1 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-0.2 + -0.3x = 3.1 + 0.0
-0.2 + -0.3x = 3.1

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.3x = 3.1 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.3x = 3.1 + 0.2
-0.3x = 3.1 + 0.2

Combine like terms: 3.1 + 0.2 = 3.3
-0.3x = 3.3

Divide each side by '-0.3'.
x = -11

Simplifying
x = -11

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