2(u+3)=-2(8u-9)+8u

Solution for 2(u+3)=-2(8u-9)+8u equation:

Simplifying
2(u + 3) = -2(8u + -9) + 8u

Reorder the terms:
2(3 + u) = -2(8u + -9) + 8u
(3 * 2 + u * 2) = -2(8u + -9) + 8u
(6 + 2u) = -2(8u + -9) + 8u

Reorder the terms:
6 + 2u = -2(-9 + 8u) + 8u
6 + 2u = (-9 * -2 + 8u * -2) + 8u
6 + 2u = (18 + -16u) + 8u

Combine like terms: -16u + 8u = -8u
6 + 2u = 18 + -8u

Solving
6 + 2u = 18 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
6 + 2u + 8u = 18 + -8u + 8u

Combine like terms: 2u + 8u = 10u
6 + 10u = 18 + -8u + 8u

Combine like terms: -8u + 8u = 0
6 + 10u = 18 + 0
6 + 10u = 18

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

Combine like terms: 6 + -6 = 0
0 + 10u = 18 + -6
10u = 18 + -6

Combine like terms: 18 + -6 = 12
10u = 12

Divide each side by '10'.
u = 1.2

Simplifying
u = 1.2