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

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

Simplifying
0.5x(4l + 2) = 3(l + -2)

Reorder the terms:
0.5x(2 + 4l) = 3(l + -2)
(2 * 0.5x + 4l * 0.5x) = 3(l + -2)

Reorder the terms:
(2lx + 1x) = 3(l + -2)
(2lx + 1x) = 3(l + -2)

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

Solving
2lx + 1x = -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.
2lx + -3l + 1x = -6 + 3l + -3l

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

Combine like terms: 3l + -3l = 0
-3l + 2lx + 1x = -6 + 0
-3l + 2lx + 1x = -6

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

Combine like terms: 1x + -1x = 0
-3l + 2lx + 0 = -6 + -1x
-3l + 2lx = -6 + -1x

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

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

Combine like terms: -6 + 6 = 0
6 + -3l + 2lx + x = 0 + -1x + x
6 + -3l + 2lx + x = -1x + x

Combine like terms: -1x + x = 0
6 + -3l + 2lx + x = 0

The solution to this equation could not be determined.