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

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

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

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

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

Solving
6 + 6x = 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 + 6x + -8x = 5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
6 + -2x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -2x = 5 + 0
6 + -2x = 5

Add '-6' to each side of the equation.
6 + -6 + -2x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 5 + -6
-2x = 5 + -6

Combine like terms: 5 + -6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5