2u-3=3(3-u)-2

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


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

Reorder the terms:
-3 + 2u = 3(3 + -1u) + -2
-3 + 2u = (3 * 3 + -1u * 3) + -2
-3 + 2u = (9 + -3u) + -2

Reorder the terms:
-3 + 2u = 9 + -2 + -3u

Combine like terms: 9 + -2 = 7
-3 + 2u = 7 + -3u

Solving
-3 + 2u = 7 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
-3 + 2u + 3u = 7 + -3u + 3u

Combine like terms: 2u + 3u = 5u
-3 + 5u = 7 + -3u + 3u

Combine like terms: -3u + 3u = 0
-3 + 5u = 7 + 0
-3 + 5u = 7

Add '3' to each side of the equation.
-3 + 3 + 5u = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5u = 7 + 3
5u = 7 + 3

Combine like terms: 7 + 3 = 10
5u = 10

Divide each side by '5'.
u = 2

Simplifying
u = 2

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