2(x-3)2+7=23

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


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

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

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

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

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

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

Solving
-5 + 4x = 23

Solving for variable 'x'.

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

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

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

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

Divide each side by '4'.
x = 7

Simplifying
x = 7

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