2u+17=5(u-2)

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Solution for 2u+17=5(u-2) equation:


Simplifying
2u + 17 = 5(u + -2)

Reorder the terms:
17 + 2u = 5(u + -2)

Reorder the terms:
17 + 2u = 5(-2 + u)
17 + 2u = (-2 * 5 + u * 5)
17 + 2u = (-10 + 5u)

Solving
17 + 2u = -10 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
17 + 2u + -5u = -10 + 5u + -5u

Combine like terms: 2u + -5u = -3u
17 + -3u = -10 + 5u + -5u

Combine like terms: 5u + -5u = 0
17 + -3u = -10 + 0
17 + -3u = -10

Add '-17' to each side of the equation.
17 + -17 + -3u = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -3u = -10 + -17
-3u = -10 + -17

Combine like terms: -10 + -17 = -27
-3u = -27

Divide each side by '-3'.
u = 9

Simplifying
u = 9

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