0.2x-0.5(2x-1)=-0.4(x+2)

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Solution for 0.2x-0.5(2x-1)=-0.4(x+2) equation: 


Simplifying
0.2x + -0.5(2x + -1) = -0.4(x + 2)

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

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

Combine like terms: 0.2x + -1x = -0.8x
0.5 + -0.8x = -0.4(x + 2)

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

Solving
0.5 + -0.8x = -0.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
0.5 + -0.8x + 0.4x = -0.8 + -0.4x + 0.4x

Combine like terms: -0.8x + 0.4x = -0.4x
0.5 + -0.4x = -0.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
0.5 + -0.4x = -0.8 + 0.0
0.5 + -0.4x = -0.8

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.4x = -0.8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.4x = -0.8 + -0.5
-0.4x = -0.8 + -0.5

Combine like terms: -0.8 + -0.5 = -1.3
-0.4x = -1.3

Divide each side by '-0.4'.
x = 3.25

Simplifying
x = 3.25

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