(2x-3)2-13=0

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Solution for (2x-3)2-13=0 equation:


Simplifying
(2x + -3) * 2 + -13 = 0

Reorder the terms:
(-3 + 2x) * 2 + -13 = 0

Reorder the terms for easier multiplication:
2(-3 + 2x) + -13 = 0
(-3 * 2 + 2x * 2) + -13 = 0
(-6 + 4x) + -13 = 0

Reorder the terms:
-6 + -13 + 4x = 0

Combine like terms: -6 + -13 = -19
-19 + 4x = 0

Solving
-19 + 4x = 0

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 4x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 4x = 0 + 19
4x = 0 + 19

Combine like terms: 0 + 19 = 19
4x = 19

Divide each side by '4'.
x = 4.75

Simplifying
x = 4.75

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