5u+3=-9(u-5)

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

Simplifying
5u + 3 = -9(u + -5)

Reorder the terms:
3 + 5u = -9(u + -5)

Reorder the terms:
3 + 5u = -9(-5 + u)
3 + 5u = (-5 * -9 + u * -9)
3 + 5u = (45 + -9u)

Solving
3 + 5u = 45 + -9u

Solving for variable 'u'.

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

Add '9u' to each side of the equation.
3 + 5u + 9u = 45 + -9u + 9u

Combine like terms: 5u + 9u = 14u
3 + 14u = 45 + -9u + 9u

Combine like terms: -9u + 9u = 0
3 + 14u = 45 + 0
3 + 14u = 45

Add '-3' to each side of the equation.
3 + -3 + 14u = 45 + -3

Combine like terms: 3 + -3 = 0
0 + 14u = 45 + -3
14u = 45 + -3

Combine like terms: 45 + -3 = 42
14u = 42

Divide each side by '14'.
u = 3

Simplifying
u = 3