5u+3+6u=10u+9-u

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Solution for 5u+3+6u=10u+9-u equation:


Simplifying
5u + 3 + 6u = 10u + 9 + -1u

Reorder the terms:
3 + 5u + 6u = 10u + 9 + -1u

Combine like terms: 5u + 6u = 11u
3 + 11u = 10u + 9 + -1u

Reorder the terms:
3 + 11u = 9 + 10u + -1u

Combine like terms: 10u + -1u = 9u
3 + 11u = 9 + 9u

Solving
3 + 11u = 9 + 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 + 11u + -9u = 9 + 9u + -9u

Combine like terms: 11u + -9u = 2u
3 + 2u = 9 + 9u + -9u

Combine like terms: 9u + -9u = 0
3 + 2u = 9 + 0
3 + 2u = 9

Add '-3' to each side of the equation.
3 + -3 + 2u = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 2u = 9 + -3
2u = 9 + -3

Combine like terms: 9 + -3 = 6
2u = 6

Divide each side by '2'.
u = 3

Simplifying
u = 3

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