(3x-2)2=13

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Solution for (3x-2)2=13 equation:


Simplifying
(3x + -2) * 2 = 13

Reorder the terms:
(-2 + 3x) * 2 = 13

Reorder the terms for easier multiplication:
2(-2 + 3x) = 13
(-2 * 2 + 3x * 2) = 13
(-4 + 6x) = 13

Solving
-4 + 6x = 13

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 13 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 13 + 4
6x = 13 + 4

Combine like terms: 13 + 4 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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