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

Solution for 5(l-4)=3(l+2) equation:

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

Reorder the terms:
5(-4 + l) = 3(l + 2)
(-4 * 5 + l * 5) = 3(l + 2)
(-20 + 5l) = 3(l + 2)

Reorder the terms:
-20 + 5l = 3(2 + l)
-20 + 5l = (2 * 3 + l * 3)
-20 + 5l = (6 + 3l)

Solving
-20 + 5l = 6 + 3l

Solving for variable 'l'.

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

Add '-3l' to each side of the equation.
-20 + 5l + -3l = 6 + 3l + -3l

Combine like terms: 5l + -3l = 2l
-20 + 2l = 6 + 3l + -3l

Combine like terms: 3l + -3l = 0
-20 + 2l = 6 + 0
-20 + 2l = 6

Add '20' to each side of the equation.
-20 + 20 + 2l = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 2l = 6 + 20
2l = 6 + 20

Combine like terms: 6 + 20 = 26
2l = 26

Divide each side by '2'.
l = 13

Simplifying
l = 13