6+2(5u-1)=-3(5u-6)+9u

Solution for 6+2(5u-1)=-3(5u-6)+9u equation:

Simplifying
6 + 2(5u + -1) = -3(5u + -6) + 9u

Reorder the terms:
6 + 2(-1 + 5u) = -3(5u + -6) + 9u
6 + (-1 * 2 + 5u * 2) = -3(5u + -6) + 9u
6 + (-2 + 10u) = -3(5u + -6) + 9u

Combine like terms: 6 + -2 = 4
4 + 10u = -3(5u + -6) + 9u

Reorder the terms:
4 + 10u = -3(-6 + 5u) + 9u
4 + 10u = (-6 * -3 + 5u * -3) + 9u
4 + 10u = (18 + -15u) + 9u

Combine like terms: -15u + 9u = -6u
4 + 10u = 18 + -6u

Solving
4 + 10u = 18 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
4 + 10u + 6u = 18 + -6u + 6u

Combine like terms: 10u + 6u = 16u
4 + 16u = 18 + -6u + 6u

Combine like terms: -6u + 6u = 0
4 + 16u = 18 + 0
4 + 16u = 18

Add '-4' to each side of the equation.
4 + -4 + 16u = 18 + -4

Combine like terms: 4 + -4 = 0
0 + 16u = 18 + -4
16u = 18 + -4

Combine like terms: 18 + -4 = 14
16u = 14

Divide each side by '16'.
u = 0.875

Simplifying
u = 0.875