x+(x-2)+(x-2)2=33

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Solution for x+(x-2)+(x-2)2=33 equation:


Simplifying
x + (x + -2) + (x + -2) * 2 = 33

Reorder the terms:
x + (-2 + x) + (x + -2) * 2 = 33

Remove parenthesis around (-2 + x)
x + -2 + x + (x + -2) * 2 = 33

Reorder the terms:
x + -2 + x + (-2 + x) * 2 = 33

Reorder the terms for easier multiplication:
x + -2 + x + 2(-2 + x) = 33
x + -2 + x + (-2 * 2 + x * 2) = 33
x + -2 + x + (-4 + 2x) = 33

Reorder the terms:
-2 + -4 + x + x + 2x = 33

Combine like terms: -2 + -4 = -6
-6 + x + x + 2x = 33

Combine like terms: x + x = 2x
-6 + 2x + 2x = 33

Combine like terms: 2x + 2x = 4x
-6 + 4x = 33

Solving
-6 + 4x = 33

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 33 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 33 + 6
4x = 33 + 6

Combine like terms: 33 + 6 = 39
4x = 39

Divide each side by '4'.
x = 9.75

Simplifying
x = 9.75

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