(x-5)2=(1)x-7

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Solution for (x-5)2=(1)x-7 equation:


Simplifying
(x + -5) * 2 = (1) * x + -7

Reorder the terms:
(-5 + x) * 2 = (1) * x + -7

Reorder the terms for easier multiplication:
2(-5 + x) = (1) * x + -7
(-5 * 2 + x * 2) = (1) * x + -7
(-10 + 2x) = (1) * x + -7

Reorder the terms:
-10 + 2x = -7 + 1x

Solving
-10 + 2x = -7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 2x + -1x = -7 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-10 + 1x = -7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-10 + 1x = -7 + 0
-10 + 1x = -7

Add '10' to each side of the equation.
-10 + 10 + 1x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -7 + 10
1x = -7 + 10

Combine like terms: -7 + 10 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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