x-(.5x+2)-(.5*(.5x+2)+2)-(.5*(.5*(.5x+2)+2)+2)=2

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


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

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

Reorder the terms:
x + -2 + -0.5x + -1(0.5(2 + 0.5x) + 2) + -1(0.5(0.5(0.5x + 2) + 2) + 2) = 2
x + -2 + -0.5x + -1((2 * 0.5 + 0.5x * 0.5) + 2) + -1(0.5(0.5(0.5x + 2) + 2) + 2) = 2
x + -2 + -0.5x + -1((1 + 0.25x) + 2) + -1(0.5(0.5(0.5x + 2) + 2) + 2) = 2

Reorder the terms:
x + -2 + -0.5x + -1(1 + 2 + 0.25x) + -1(0.5(0.5(0.5x + 2) + 2) + 2) = 2

Combine like terms: 1 + 2 = 3
x + -2 + -0.5x + -1(3 + 0.25x) + -1(0.5(0.5(0.5x + 2) + 2) + 2) = 2
x + -2 + -0.5x + (3 * -1 + 0.25x * -1) + -1(0.5(0.5(0.5x + 2) + 2) + 2) = 2
x + -2 + -0.5x + (-3 + -0.25x) + -1(0.5(0.5(0.5x + 2) + 2) + 2) = 2

Reorder the terms:
x + -2 + -0.5x + -3 + -0.25x + -1(0.5(0.5(2 + 0.5x) + 2) + 2) = 2
x + -2 + -0.5x + -3 + -0.25x + -1(0.5((2 * 0.5 + 0.5x * 0.5) + 2) + 2) = 2
x + -2 + -0.5x + -3 + -0.25x + -1(0.5((1 + 0.25x) + 2) + 2) = 2

Reorder the terms:
x + -2 + -0.5x + -3 + -0.25x + -1(0.5(1 + 2 + 0.25x) + 2) = 2

Combine like terms: 1 + 2 = 3
x + -2 + -0.5x + -3 + -0.25x + -1(0.5(3 + 0.25x) + 2) = 2
x + -2 + -0.5x + -3 + -0.25x + -1((3 * 0.5 + 0.25x * 0.5) + 2) = 2
x + -2 + -0.5x + -3 + -0.25x + -1((1.5 + 0.125x) + 2) = 2

Reorder the terms:
x + -2 + -0.5x + -3 + -0.25x + -1(1.5 + 2 + 0.125x) = 2

Combine like terms: 1.5 + 2 = 3.5
x + -2 + -0.5x + -3 + -0.25x + -1(3.5 + 0.125x) = 2
x + -2 + -0.5x + -3 + -0.25x + (3.5 * -1 + 0.125x * -1) = 2
x + -2 + -0.5x + -3 + -0.25x + (-3.5 + -0.125x) = 2

Reorder the terms:
-2 + -3 + -3.5 + x + -0.5x + -0.25x + -0.125x = 2

Combine like terms: -2 + -3 = -5
-5 + -3.5 + x + -0.5x + -0.25x + -0.125x = 2

Combine like terms: -5 + -3.5 = -8.5
-8.5 + x + -0.5x + -0.25x + -0.125x = 2

Combine like terms: x + -0.5x = 0.5x
-8.5 + 0.5x + -0.25x + -0.125x = 2

Combine like terms: 0.5x + -0.25x = 0.25x
-8.5 + 0.25x + -0.125x = 2

Combine like terms: 0.25x + -0.125x = 0.125x
-8.5 + 0.125x = 2

Solving
-8.5 + 0.125x = 2

Solving for variable 'x'.

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

Add '8.5' to each side of the equation.
-8.5 + 8.5 + 0.125x = 2 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + 0.125x = 2 + 8.5
0.125x = 2 + 8.5

Combine like terms: 2 + 8.5 = 10.5
0.125x = 10.5

Divide each side by '0.125'.
x = 84

Simplifying
x = 84

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