2(l-3)=4(l-6)

Solution for 2(l-3)=4(l-6) equation:

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

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

Reorder the terms:
-6 + 2l = 4(-6 + l)
-6 + 2l = (-6 * 4 + l * 4)
-6 + 2l = (-24 + 4l)

Solving
-6 + 2l = -24 + 4l

Solving for variable 'l'.

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

Add '-4l' to each side of the equation.
-6 + 2l + -4l = -24 + 4l + -4l

Combine like terms: 2l + -4l = -2l
-6 + -2l = -24 + 4l + -4l

Combine like terms: 4l + -4l = 0
-6 + -2l = -24 + 0
-6 + -2l = -24

Add '6' to each side of the equation.
-6 + 6 + -2l = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -2l = -24 + 6
-2l = -24 + 6

Combine like terms: -24 + 6 = -18
-2l = -18

Divide each side by '-2'.
l = 9

Simplifying
l = 9