4u+1-2(-7u-1)=3(u-2)

Solution for 4u+1-2(-7u-1)=3(u-2) equation:

Simplifying
4u + 1 + -2(-7u + -1) = 3(u + -2)

Reorder the terms:
4u + 1 + -2(-1 + -7u) = 3(u + -2)
4u + 1 + (-1 * -2 + -7u * -2) = 3(u + -2)
4u + 1 + (2 + 14u) = 3(u + -2)

Reorder the terms:
1 + 2 + 4u + 14u = 3(u + -2)

Combine like terms: 1 + 2 = 3
3 + 4u + 14u = 3(u + -2)

Combine like terms: 4u + 14u = 18u
3 + 18u = 3(u + -2)

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

Solving
3 + 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.
3 + 18u + -3u = -6 + 3u + -3u

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

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

Add '-3' to each side of the equation.
3 + -3 + 15u = -6 + -3

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

Combine like terms: -6 + -3 = -9
15u = -9

Divide each side by '15'.
u = -0.6

Simplifying
u = -0.6