3(l-2)=2l+1

Solution for 3(l-2)=2l+1 equation:

Simplifying
3(l + -2) = 2l + 1

Reorder the terms:
3(-2 + l) = 2l + 1
(-2 * 3 + l * 3) = 2l + 1
(-6 + 3l) = 2l + 1

Reorder the terms:
-6 + 3l = 1 + 2l

Solving
-6 + 3l = 1 + 2l

Solving for variable 'l'.

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

Add '-2l' to each side of the equation.
-6 + 3l + -2l = 1 + 2l + -2l

Combine like terms: 3l + -2l = 1l
-6 + 1l = 1 + 2l + -2l

Combine like terms: 2l + -2l = 0
-6 + 1l = 1 + 0
-6 + 1l = 1

Add '6' to each side of the equation.
-6 + 6 + 1l = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 1l = 1 + 6
1l = 1 + 6

Combine like terms: 1 + 6 = 7
1l = 7

Divide each side by '1'.
l = 7

Simplifying
l = 7