3-(x+0.4)-0.5(x-1)=0.5-[0.5-(x-0.5)]

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Solution for 3-(x+0.4)-0.5(x-1)=0.5-[0.5-(x-0.5)] equation: 


Simplifying
3 + -1(x + 0.4) + -0.5(x + -1) = 0.5 + -1[0.5 + -1(x + -0.5)]

Reorder the terms:
3 + -1(0.4 + x) + -0.5(x + -1) = 0.5 + -1[0.5 + -1(x + -0.5)]
3 + (0.4 * -1 + x * -1) + -0.5(x + -1) = 0.5 + -1[0.5 + -1(x + -0.5)]
3 + (-0.4 + -1x) + -0.5(x + -1) = 0.5 + -1[0.5 + -1(x + -0.5)]

Reorder the terms:
3 + -0.4 + -1x + -0.5(-1 + x) = 0.5 + -1[0.5 + -1(x + -0.5)]
3 + -0.4 + -1x + (-1 * -0.5 + x * -0.5) = 0.5 + -1[0.5 + -1(x + -0.5)]
3 + -0.4 + -1x + (0.5 + -0.5x) = 0.5 + -1[0.5 + -1(x + -0.5)]

Reorder the terms:
3 + -0.4 + 0.5 + -1x + -0.5x = 0.5 + -1[0.5 + -1(x + -0.5)]

Combine like terms: 3 + -0.4 = 2.6
2.6 + 0.5 + -1x + -0.5x = 0.5 + -1[0.5 + -1(x + -0.5)]

Combine like terms: 2.6 + 0.5 = 3.1
3.1 + -1x + -0.5x = 0.5 + -1[0.5 + -1(x + -0.5)]

Combine like terms: -1x + -0.5x = -1.5x
3.1 + -1.5x = 0.5 + -1[0.5 + -1(x + -0.5)]

Reorder the terms:
3.1 + -1.5x = 0.5 + -1[0.5 + -1(-0.5 + x)]
3.1 + -1.5x = 0.5 + -1[0.5 + (-0.5 * -1 + x * -1)]
3.1 + -1.5x = 0.5 + -1[0.5 + (0.5 + -1x)]

Combine like terms: 0.5 + 0.5 = 1
3.1 + -1.5x = 0.5 + -1[1 + -1x]
3.1 + -1.5x = 0.5 + [1 * -1 + -1x * -1]
3.1 + -1.5x = 0.5 + [-1 + 1x]

Combine like terms: 0.5 + -1 = -0.5
3.1 + -1.5x = -0.5 + 1x

Solving
3.1 + -1.5x = -0.5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3.1 + -1.5x + -1x = -0.5 + 1x + -1x

Combine like terms: -1.5x + -1x = -2.5x
3.1 + -2.5x = -0.5 + 1x + -1x

Combine like terms: 1x + -1x = 0
3.1 + -2.5x = -0.5 + 0
3.1 + -2.5x = -0.5

Add '-3.1' to each side of the equation.
3.1 + -3.1 + -2.5x = -0.5 + -3.1

Combine like terms: 3.1 + -3.1 = 0.0
0.0 + -2.5x = -0.5 + -3.1
-2.5x = -0.5 + -3.1

Combine like terms: -0.5 + -3.1 = -3.6
-2.5x = -3.6

Divide each side by '-2.5'.
x = 1.44

Simplifying
x = 1.44

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