3u+19=5(u-5)

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Solution for 3u+19=5(u-5) equation:


Simplifying
3u + 19 = 5(u + -5)

Reorder the terms:
19 + 3u = 5(u + -5)

Reorder the terms:
19 + 3u = 5(-5 + u)
19 + 3u = (-5 * 5 + u * 5)
19 + 3u = (-25 + 5u)

Solving
19 + 3u = -25 + 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.
19 + 3u + -5u = -25 + 5u + -5u

Combine like terms: 3u + -5u = -2u
19 + -2u = -25 + 5u + -5u

Combine like terms: 5u + -5u = 0
19 + -2u = -25 + 0
19 + -2u = -25

Add '-19' to each side of the equation.
19 + -19 + -2u = -25 + -19

Combine like terms: 19 + -19 = 0
0 + -2u = -25 + -19
-2u = -25 + -19

Combine like terms: -25 + -19 = -44
-2u = -44

Divide each side by '-2'.
u = 22

Simplifying
u = 22

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