23=2(x-3)2+7

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Solution for 23=2(x-3)2+7 equation:


Simplifying
23 = 2(x + -3) * 2 + 7

Reorder the terms:
23 = 2(-3 + x) * 2 + 7

Reorder the terms for easier multiplication:
23 = 2 * 2(-3 + x) + 7

Multiply 2 * 2
23 = 4(-3 + x) + 7
23 = (-3 * 4 + x * 4) + 7
23 = (-12 + 4x) + 7

Reorder the terms:
23 = -12 + 7 + 4x

Combine like terms: -12 + 7 = -5
23 = -5 + 4x

Solving
23 = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
23 + -4x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + -4x = -5 + 0
23 + -4x = -5

Add '-23' to each side of the equation.
23 + -23 + -4x = -5 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = -5 + -23
-4x = -5 + -23

Combine like terms: -5 + -23 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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