(x-7)2-1=0

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Solution for (x-7)2-1=0 equation:


Simplifying
(x + -7) * 2 + -1 = 0

Reorder the terms:
(-7 + x) * 2 + -1 = 0

Reorder the terms for easier multiplication:
2(-7 + x) + -1 = 0
(-7 * 2 + x * 2) + -1 = 0
(-14 + 2x) + -1 = 0

Reorder the terms:
-14 + -1 + 2x = 0

Combine like terms: -14 + -1 = -15
-15 + 2x = 0

Solving
-15 + 2x = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 0 + 15
2x = 0 + 15

Combine like terms: 0 + 15 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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