-2u+19=3u-16

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Solution for -2u+19=3u-16 equation:


Simplifying
-2u + 19 = 3u + -16

Reorder the terms:
19 + -2u = 3u + -16

Reorder the terms:
19 + -2u = -16 + 3u

Solving
19 + -2u = -16 + 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.
19 + -2u + -3u = -16 + 3u + -3u

Combine like terms: -2u + -3u = -5u
19 + -5u = -16 + 3u + -3u

Combine like terms: 3u + -3u = 0
19 + -5u = -16 + 0
19 + -5u = -16

Add '-19' to each side of the equation.
19 + -19 + -5u = -16 + -19

Combine like terms: 19 + -19 = 0
0 + -5u = -16 + -19
-5u = -16 + -19

Combine like terms: -16 + -19 = -35
-5u = -35

Divide each side by '-5'.
u = 7

Simplifying
u = 7

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