6u+2-4(-3u-1)=3(u-2)

Solution for 6u+2-4(-3u-1)=3(u-2) equation:

Simplifying
6u + 2 + -4(-3u + -1) = 3(u + -2)

Reorder the terms:
6u + 2 + -4(-1 + -3u) = 3(u + -2)
6u + 2 + (-1 * -4 + -3u * -4) = 3(u + -2)
6u + 2 + (4 + 12u) = 3(u + -2)

Reorder the terms:
2 + 4 + 6u + 12u = 3(u + -2)

Combine like terms: 2 + 4 = 6
6 + 6u + 12u = 3(u + -2)

Combine like terms: 6u + 12u = 18u
6 + 18u = 3(u + -2)

Reorder the terms:
6 + 18u = 3(-2 + u)
6 + 18u = (-2 * 3 + u * 3)
6 + 18u = (-6 + 3u)

Solving
6 + 18u = -6 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
6 + 18u + -3u = -6 + 3u + -3u

Combine like terms: 18u + -3u = 15u
6 + 15u = -6 + 3u + -3u

Combine like terms: 3u + -3u = 0
6 + 15u = -6 + 0
6 + 15u = -6

Add '-6' to each side of the equation.
6 + -6 + 15u = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 15u = -6 + -6
15u = -6 + -6

Combine like terms: -6 + -6 = -12
15u = -12

Divide each side by '15'.
u = -0.8

Simplifying
u = -0.8