2(x-3)2-6=26

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Solution for 2(x-3)2-6=26 equation:


Simplifying
2(x + -3) * 2 + -6 = 26

Reorder the terms:
2(-3 + x) * 2 + -6 = 26

Reorder the terms for easier multiplication:
2 * 2(-3 + x) + -6 = 26

Multiply 2 * 2
4(-3 + x) + -6 = 26
(-3 * 4 + x * 4) + -6 = 26
(-12 + 4x) + -6 = 26

Reorder the terms:
-12 + -6 + 4x = 26

Combine like terms: -12 + -6 = -18
-18 + 4x = 26

Solving
-18 + 4x = 26

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 4x = 26 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 26 + 18
4x = 26 + 18

Combine like terms: 26 + 18 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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