(4x-5)2=45

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Solution for (4x-5)2=45 equation:


Simplifying
(4x + -5) * 2 = 45

Reorder the terms:
(-5 + 4x) * 2 = 45

Reorder the terms for easier multiplication:
2(-5 + 4x) = 45
(-5 * 2 + 4x * 2) = 45
(-10 + 8x) = 45

Solving
-10 + 8x = 45

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 8x = 45 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 45 + 10
8x = 45 + 10

Combine like terms: 45 + 10 = 55
8x = 55

Divide each side by '8'.
x = 6.875

Simplifying
x = 6.875

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