[(x-10)-24]+(x-10)+x=180

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Solution for [(x-10)-24]+(x-10)+x=180 equation:


Simplifying
[(x + -10) + -24] + (x + -10) + x = 180

Reorder the terms:
[(-10 + x) + -24] + (x + -10) + x = 180

Remove parenthesis around (-10 + x)
[-10 + x + -24] + (x + -10) + x = 180

Reorder the terms:
[-10 + -24 + x] + (x + -10) + x = 180

Combine like terms: -10 + -24 = -34
[-34 + x] + (x + -10) + x = 180

Remove brackets around [-34 + x]
-34 + x + (x + -10) + x = 180

Reorder the terms:
-34 + x + (-10 + x) + x = 180

Remove parenthesis around (-10 + x)
-34 + x + -10 + x + x = 180

Reorder the terms:
-34 + -10 + x + x + x = 180

Combine like terms: -34 + -10 = -44
-44 + x + x + x = 180

Combine like terms: x + x = 2x
-44 + 2x + x = 180

Combine like terms: 2x + x = 3x
-44 + 3x = 180

Solving
-44 + 3x = 180

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + 3x = 180 + 44

Combine like terms: -44 + 44 = 0
0 + 3x = 180 + 44
3x = 180 + 44

Combine like terms: 180 + 44 = 224
3x = 224

Divide each side by '3'.
x = 74.66666667

Simplifying
x = 74.66666667

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