3u-5=2(3-u)-1

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Solution for 3u-5=2(3-u)-1 equation:


Simplifying
3u + -5 = 2(3 + -1u) + -1

Reorder the terms:
-5 + 3u = 2(3 + -1u) + -1
-5 + 3u = (3 * 2 + -1u * 2) + -1
-5 + 3u = (6 + -2u) + -1

Reorder the terms:
-5 + 3u = 6 + -1 + -2u

Combine like terms: 6 + -1 = 5
-5 + 3u = 5 + -2u

Solving
-5 + 3u = 5 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
-5 + 3u + 2u = 5 + -2u + 2u

Combine like terms: 3u + 2u = 5u
-5 + 5u = 5 + -2u + 2u

Combine like terms: -2u + 2u = 0
-5 + 5u = 5 + 0
-5 + 5u = 5

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

Combine like terms: -5 + 5 = 0
0 + 5u = 5 + 5
5u = 5 + 5

Combine like terms: 5 + 5 = 10
5u = 10

Divide each side by '5'.
u = 2

Simplifying
u = 2

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