7u+4-2(-5u-1)=3(u-2)

Solution for 7u+4-2(-5u-1)=3(u-2) equation:

Simplifying
7u + 4 + -2(-5u + -1) = 3(u + -2)

Reorder the terms:
7u + 4 + -2(-1 + -5u) = 3(u + -2)
7u + 4 + (-1 * -2 + -5u * -2) = 3(u + -2)
7u + 4 + (2 + 10u) = 3(u + -2)

Reorder the terms:
4 + 2 + 7u + 10u = 3(u + -2)

Combine like terms: 4 + 2 = 6
6 + 7u + 10u = 3(u + -2)

Combine like terms: 7u + 10u = 17u
6 + 17u = 3(u + -2)

Reorder the terms:
6 + 17u = 3(-2 + u)
6 + 17u = (-2 * 3 + u * 3)
6 + 17u = (-6 + 3u)

Solving
6 + 17u = -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 + 17u + -3u = -6 + 3u + -3u

Combine like terms: 17u + -3u = 14u
6 + 14u = -6 + 3u + -3u

Combine like terms: 3u + -3u = 0
6 + 14u = -6 + 0
6 + 14u = -6

Add '-6' to each side of the equation.
6 + -6 + 14u = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 14u = -6 + -6
14u = -6 + -6

Combine like terms: -6 + -6 = -12
14u = -12

Divide each side by '14'.
u = -0.8571428571

Simplifying
u = -0.8571428571