3(2+l)=7(l-4)

Solution for 3(2+l)=7(l-4) equation:

Simplifying
3(2 + l) = 7(l + -4)
(2 * 3 + l * 3) = 7(l + -4)
(6 + 3l) = 7(l + -4)

Reorder the terms:
6 + 3l = 7(-4 + l)
6 + 3l = (-4 * 7 + l * 7)
6 + 3l = (-28 + 7l)

Solving
6 + 3l = -28 + 7l

Solving for variable 'l'.

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

Add '-7l' to each side of the equation.
6 + 3l + -7l = -28 + 7l + -7l

Combine like terms: 3l + -7l = -4l
6 + -4l = -28 + 7l + -7l

Combine like terms: 7l + -7l = 0
6 + -4l = -28 + 0
6 + -4l = -28

Add '-6' to each side of the equation.
6 + -6 + -4l = -28 + -6

Combine like terms: 6 + -6 = 0
0 + -4l = -28 + -6
-4l = -28 + -6

Combine like terms: -28 + -6 = -34
-4l = -34

Divide each side by '-4'.
l = 8.5

Simplifying
l = 8.5