0.5[5-2(x-3)]+.25[(2-x)-(3-2x)]=5

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Solution for 0.5[5-2(x-3)]+.25[(2-x)-(3-2x)]=5 equation:


Simplifying
0.5[5 + -2(x + -3)] + 0.25[(2 + -1x) + -1(3 + -2x)] = 5

Reorder the terms:
0.5[5 + -2(-3 + x)] + 0.25[(2 + -1x) + -1(3 + -2x)] = 5
0.5[5 + (-3 * -2 + x * -2)] + 0.25[(2 + -1x) + -1(3 + -2x)] = 5
0.5[5 + (6 + -2x)] + 0.25[(2 + -1x) + -1(3 + -2x)] = 5

Combine like terms: 5 + 6 = 11
0.5[11 + -2x] + 0.25[(2 + -1x) + -1(3 + -2x)] = 5
[11 * 0.5 + -2x * 0.5] + 0.25[(2 + -1x) + -1(3 + -2x)] = 5
[5.5 + -1x] + 0.25[(2 + -1x) + -1(3 + -2x)] = 5

Remove parenthesis around (2 + -1x)
5.5 + -1x + 0.25[2 + -1x + -1(3 + -2x)] = 5
5.5 + -1x + 0.25[2 + -1x + (3 * -1 + -2x * -1)] = 5
5.5 + -1x + 0.25[2 + -1x + (-3 + 2x)] = 5

Reorder the terms:
5.5 + -1x + 0.25[2 + -3 + -1x + 2x] = 5

Combine like terms: 2 + -3 = -1
5.5 + -1x + 0.25[-1 + -1x + 2x] = 5

Combine like terms: -1x + 2x = 1x
5.5 + -1x + 0.25[-1 + 1x] = 5
5.5 + -1x + [-1 * 0.25 + 1x * 0.25] = 5
5.5 + -1x + [-0.25 + 0.25x] = 5

Reorder the terms:
5.5 + -0.25 + -1x + 0.25x = 5

Combine like terms: 5.5 + -0.25 = 5.25
5.25 + -1x + 0.25x = 5

Combine like terms: -1x + 0.25x = -0.75x
5.25 + -0.75x = 5

Solving
5.25 + -0.75x = 5

Solving for variable 'x'.

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

Add '-5.25' to each side of the equation.
5.25 + -5.25 + -0.75x = 5 + -5.25

Combine like terms: 5.25 + -5.25 = 0.00
0.00 + -0.75x = 5 + -5.25
-0.75x = 5 + -5.25

Combine like terms: 5 + -5.25 = -0.25
-0.75x = -0.25

Divide each side by '-0.75'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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