.5(2x+.4)=0.4x-2(.4-.5x)

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Solution for .5(2x+.4)=0.4x-2(.4-.5x) equation: 


Simplifying
0.5(2x + 0.4) = 0.4x + -2(0.4 + -0.5x)

Reorder the terms:
0.5(0.4 + 2x) = 0.4x + -2(0.4 + -0.5x)
(0.4 * 0.5 + 2x * 0.5) = 0.4x + -2(0.4 + -0.5x)
(0.2 + 1x) = 0.4x + -2(0.4 + -0.5x)
0.2 + 1x = 0.4x + (0.4 * -2 + -0.5x * -2)
0.2 + 1x = 0.4x + (-0.8 + 1x)

Reorder the terms:
0.2 + 1x = -0.8 + 0.4x + 1x

Combine like terms: 0.4x + 1x = 1.4x
0.2 + 1x = -0.8 + 1.4x

Solving
0.2 + 1x = -0.8 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
0.2 + 1x + -1.4x = -0.8 + 1.4x + -1.4x

Combine like terms: 1x + -1.4x = -0.4x
0.2 + -0.4x = -0.8 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
0.2 + -0.4x = -0.8 + 0.0
0.2 + -0.4x = -0.8

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.4x = -0.8 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4x = -0.8 + -0.2
-0.4x = -0.8 + -0.2

Combine like terms: -0.8 + -0.2 = -1
-0.4x = -1

Divide each side by '-0.4'.
x = 2.5

Simplifying
x = 2.5

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