6+3(5x-l)=12x-2(4x-9)

Solution for 6+3(5x-l)=12x-2(4x-9) equation:

Simplifying
6 + 3(5x + -1l) = 12x + -2(4x + -9)

Reorder the terms:
6 + 3(-1l + 5x) = 12x + -2(4x + -9)
6 + (-1l * 3 + 5x * 3) = 12x + -2(4x + -9)
6 + (-3l + 15x) = 12x + -2(4x + -9)

Reorder the terms:
6 + -3l + 15x = 12x + -2(-9 + 4x)
6 + -3l + 15x = 12x + (-9 * -2 + 4x * -2)
6 + -3l + 15x = 12x + (18 + -8x)

Reorder the terms:
6 + -3l + 15x = 18 + 12x + -8x

Combine like terms: 12x + -8x = 4x
6 + -3l + 15x = 18 + 4x

Solving
6 + -3l + 15x = 18 + 4x

Solving for variable 'l'.

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

Add '-6' to each side of the equation.
6 + -3l + -6 + 15x = 18 + -6 + 4x

Reorder the terms:
6 + -6 + -3l + 15x = 18 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + -3l + 15x = 18 + -6 + 4x
-3l + 15x = 18 + -6 + 4x

Combine like terms: 18 + -6 = 12
-3l + 15x = 12 + 4x

Add '-15x' to each side of the equation.
-3l + 15x + -15x = 12 + 4x + -15x

Combine like terms: 15x + -15x = 0
-3l + 0 = 12 + 4x + -15x
-3l = 12 + 4x + -15x

Combine like terms: 4x + -15x = -11x
-3l = 12 + -11x

Divide each side by '-3'.
l = -4 + 3.666666667x

Simplifying
l = -4 + 3.666666667x