5-(x-1)2=-22

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Solution for 5-(x-1)2=-22 equation:


Simplifying
5 + -1(x + -1) * 2 = -22

Reorder the terms:
5 + -1(-1 + x) * 2 = -22

Reorder the terms for easier multiplication:
5 + -1 * 2(-1 + x) = -22

Multiply -1 * 2
5 + -2(-1 + x) = -22
5 + (-1 * -2 + x * -2) = -22
5 + (2 + -2x) = -22

Combine like terms: 5 + 2 = 7
7 + -2x = -22

Solving
7 + -2x = -22

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 + -2x = -22 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -22 + -7
-2x = -22 + -7

Combine like terms: -22 + -7 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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