2(2x+3)=8x+5

Solution for 2(2x+3)=8x+5 equation:

Simplifying
2(2x + 3) = 8x + 5

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

Reorder the terms:
6 + 4x = 5 + 8x

Solving
6 + 4x = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 4x + -8x = 5 + 8x + -8x

Combine like terms: 4x + -8x = -4x
6 + -4x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -4x = 5 + 0
6 + -4x = 5

Add '-6' to each side of the equation.
6 + -6 + -4x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 5 + -6
-4x = 5 + -6

Combine like terms: 5 + -6 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25