2(x-4)2-7=13

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Solution for 2(x-4)2-7=13 equation:


Simplifying
2(x + -4) * 2 + -7 = 13

Reorder the terms:
2(-4 + x) * 2 + -7 = 13

Reorder the terms for easier multiplication:
2 * 2(-4 + x) + -7 = 13

Multiply 2 * 2
4(-4 + x) + -7 = 13
(-4 * 4 + x * 4) + -7 = 13
(-16 + 4x) + -7 = 13

Reorder the terms:
-16 + -7 + 4x = 13

Combine like terms: -16 + -7 = -23
-23 + 4x = 13

Solving
-23 + 4x = 13

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 4x = 13 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = 13 + 23
4x = 13 + 23

Combine like terms: 13 + 23 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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