9(3u-1)=10(2u+11)

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Solution for 9(3u-1)=10(2u+11) equation:


Simplifying
9(3u + -1) = 10(2u + 11)

Reorder the terms:
9(-1 + 3u) = 10(2u + 11)
(-1 * 9 + 3u * 9) = 10(2u + 11)
(-9 + 27u) = 10(2u + 11)

Reorder the terms:
-9 + 27u = 10(11 + 2u)
-9 + 27u = (11 * 10 + 2u * 10)
-9 + 27u = (110 + 20u)

Solving
-9 + 27u = 110 + 20u

Solving for variable 'u'.

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

Add '-20u' to each side of the equation.
-9 + 27u + -20u = 110 + 20u + -20u

Combine like terms: 27u + -20u = 7u
-9 + 7u = 110 + 20u + -20u

Combine like terms: 20u + -20u = 0
-9 + 7u = 110 + 0
-9 + 7u = 110

Add '9' to each side of the equation.
-9 + 9 + 7u = 110 + 9

Combine like terms: -9 + 9 = 0
0 + 7u = 110 + 9
7u = 110 + 9

Combine like terms: 110 + 9 = 119
7u = 119

Divide each side by '7'.
u = 17

Simplifying
u = 17

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