2(u+9)=9u-10

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


Simplifying
2(u + 9) = 9u + -10

Reorder the terms:
2(9 + u) = 9u + -10
(9 * 2 + u * 2) = 9u + -10
(18 + 2u) = 9u + -10

Reorder the terms:
18 + 2u = -10 + 9u

Solving
18 + 2u = -10 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
18 + 2u + -9u = -10 + 9u + -9u

Combine like terms: 2u + -9u = -7u
18 + -7u = -10 + 9u + -9u

Combine like terms: 9u + -9u = 0
18 + -7u = -10 + 0
18 + -7u = -10

Add '-18' to each side of the equation.
18 + -18 + -7u = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -7u = -10 + -18
-7u = -10 + -18

Combine like terms: -10 + -18 = -28
-7u = -28

Divide each side by '-7'.
u = 4

Simplifying
u = 4

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