2(x-5)2-3=21

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Solution for 2(x-5)2-3=21 equation: 


Simplifying
2(x + -5) * 2 + -3 = 21

Reorder the terms:
2(-5 + x) * 2 + -3 = 21

Reorder the terms for easier multiplication:
2 * 2(-5 + x) + -3 = 21

Multiply 2 * 2
4(-5 + x) + -3 = 21
(-5 * 4 + x * 4) + -3 = 21
(-20 + 4x) + -3 = 21

Reorder the terms:
-20 + -3 + 4x = 21

Combine like terms: -20 + -3 = -23
-23 + 4x = 21

Solving
-23 + 4x = 21

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 = 21 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = 21 + 23
4x = 21 + 23

Combine like terms: 21 + 23 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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