9(5u-9)=3(10u-1)

Solution for 9(5u-9)=3(10u-1) equation:

Simplifying
9(5u + -9) = 3(10u + -1)

Reorder the terms:
9(-9 + 5u) = 3(10u + -1)
(-9 * 9 + 5u * 9) = 3(10u + -1)
(-81 + 45u) = 3(10u + -1)

Reorder the terms:
-81 + 45u = 3(-1 + 10u)
-81 + 45u = (-1 * 3 + 10u * 3)
-81 + 45u = (-3 + 30u)

Solving
-81 + 45u = -3 + 30u

Solving for variable 'u'.

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

Add '-30u' to each side of the equation.
-81 + 45u + -30u = -3 + 30u + -30u

Combine like terms: 45u + -30u = 15u
-81 + 15u = -3 + 30u + -30u

Combine like terms: 30u + -30u = 0
-81 + 15u = -3 + 0
-81 + 15u = -3

Add '81' to each side of the equation.
-81 + 81 + 15u = -3 + 81

Combine like terms: -81 + 81 = 0
0 + 15u = -3 + 81
15u = -3 + 81

Combine like terms: -3 + 81 = 78
15u = 78

Divide each side by '15'.
u = 5.2

Simplifying
u = 5.2