2u-3=6-u

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Solution for 2u-3=6-u equation:


Simplifying
2u + -3 = 6 + -1u

Reorder the terms:
-3 + 2u = 6 + -1u

Solving
-3 + 2u = 6 + -1u

Solving for variable 'u'.

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

Add 'u' to each side of the equation.
-3 + 2u + u = 6 + -1u + u

Combine like terms: 2u + u = 3u
-3 + 3u = 6 + -1u + u

Combine like terms: -1u + u = 0
-3 + 3u = 6 + 0
-3 + 3u = 6

Add '3' to each side of the equation.
-3 + 3 + 3u = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 3u = 6 + 3
3u = 6 + 3

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

Divide each side by '3'.
u = 3

Simplifying
u = 3

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