2u+9=8u+21

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Solution for 2u+9=8u+21 equation:


Simplifying
2u + 9 = 8u + 21

Reorder the terms:
9 + 2u = 8u + 21

Reorder the terms:
9 + 2u = 21 + 8u

Solving
9 + 2u = 21 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
9 + 2u + -8u = 21 + 8u + -8u

Combine like terms: 2u + -8u = -6u
9 + -6u = 21 + 8u + -8u

Combine like terms: 8u + -8u = 0
9 + -6u = 21 + 0
9 + -6u = 21

Add '-9' to each side of the equation.
9 + -9 + -6u = 21 + -9

Combine like terms: 9 + -9 = 0
0 + -6u = 21 + -9
-6u = 21 + -9

Combine like terms: 21 + -9 = 12
-6u = 12

Divide each side by '-6'.
u = -2

Simplifying
u = -2

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