(2x+1)2+5=53

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Solution for (2x+1)2+5=53 equation:


Simplifying
(2x + 1) * 2 + 5 = 53

Reorder the terms:
(1 + 2x) * 2 + 5 = 53

Reorder the terms for easier multiplication:
2(1 + 2x) + 5 = 53
(1 * 2 + 2x * 2) + 5 = 53
(2 + 4x) + 5 = 53

Reorder the terms:
2 + 5 + 4x = 53

Combine like terms: 2 + 5 = 7
7 + 4x = 53

Solving
7 + 4x = 53

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 = 53 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 53 + -7
4x = 53 + -7

Combine like terms: 53 + -7 = 46
4x = 46

Divide each side by '4'.
x = 11.5

Simplifying
x = 11.5

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