2(2x+3)2=5

Solution for 2(2x+3)2=5 equation:

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

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

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

Multiply 2 * 2
4(3 + 2x) = 5
(3 * 4 + 2x * 4) = 5
(12 + 8x) = 5

Solving
12 + 8x = 5

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 8x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = 5 + -12
8x = 5 + -12

Combine like terms: 5 + -12 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875