(2x-5)2+3=52

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Solution for (2x-5)2+3=52 equation:


Simplifying
(2x + -5) * 2 + 3 = 52

Reorder the terms:
(-5 + 2x) * 2 + 3 = 52

Reorder the terms for easier multiplication:
2(-5 + 2x) + 3 = 52
(-5 * 2 + 2x * 2) + 3 = 52
(-10 + 4x) + 3 = 52

Reorder the terms:
-10 + 3 + 4x = 52

Combine like terms: -10 + 3 = -7
-7 + 4x = 52

Solving
-7 + 4x = 52

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 52 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 52 + 7
4x = 52 + 7

Combine like terms: 52 + 7 = 59
4x = 59

Divide each side by '4'.
x = 14.75

Simplifying
x = 14.75

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