(4x-3)2=5

Solution for (4x-3)2=5 equation:

Simplifying
(4x + -3) * 2 = 5

Reorder the terms:
(-3 + 4x) * 2 = 5

Reorder the terms for easier multiplication:
2(-3 + 4x) = 5
(-3 * 2 + 4x * 2) = 5
(-6 + 8x) = 5

Solving
-6 + 8x = 5

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 5 + 6
8x = 5 + 6

Combine like terms: 5 + 6 = 11
8x = 11

Divide each side by '8'.
x = 1.375

Simplifying
x = 1.375