5(2x-5)2+10=255

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Solution for 5(2x-5)2+10=255 equation:


Simplifying
5(2x + -5) * 2 + 10 = 255

Reorder the terms:
5(-5 + 2x) * 2 + 10 = 255

Reorder the terms for easier multiplication:
5 * 2(-5 + 2x) + 10 = 255

Multiply 5 * 2
10(-5 + 2x) + 10 = 255
(-5 * 10 + 2x * 10) + 10 = 255
(-50 + 20x) + 10 = 255

Reorder the terms:
-50 + 10 + 20x = 255

Combine like terms: -50 + 10 = -40
-40 + 20x = 255

Solving
-40 + 20x = 255

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 20x = 255 + 40

Combine like terms: -40 + 40 = 0
0 + 20x = 255 + 40
20x = 255 + 40

Combine like terms: 255 + 40 = 295
20x = 295

Divide each side by '20'.
x = 14.75

Simplifying
x = 14.75

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