3(2l+2)=4(4l+3)-8

Solution for 3(2l+2)=4(4l+3)-8 equation:

Simplifying
3(2l + 2) = 4(4l + 3) + -8

Reorder the terms:
3(2 + 2l) = 4(4l + 3) + -8
(2 * 3 + 2l * 3) = 4(4l + 3) + -8
(6 + 6l) = 4(4l + 3) + -8

Reorder the terms:
6 + 6l = 4(3 + 4l) + -8
6 + 6l = (3 * 4 + 4l * 4) + -8
6 + 6l = (12 + 16l) + -8

Reorder the terms:
6 + 6l = 12 + -8 + 16l

Combine like terms: 12 + -8 = 4
6 + 6l = 4 + 16l

Solving
6 + 6l = 4 + 16l

Solving for variable 'l'.

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

Add '-16l' to each side of the equation.
6 + 6l + -16l = 4 + 16l + -16l

Combine like terms: 6l + -16l = -10l
6 + -10l = 4 + 16l + -16l

Combine like terms: 16l + -16l = 0
6 + -10l = 4 + 0
6 + -10l = 4

Add '-6' to each side of the equation.
6 + -6 + -10l = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -10l = 4 + -6
-10l = 4 + -6

Combine like terms: 4 + -6 = -2
-10l = -2

Divide each side by '-10'.
l = 0.2

Simplifying
l = 0.2