2*u+9=7*u+15-u-20

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Solution for 2*u+9=7*u+15-u-20 equation:


Simplifying
2u + 9 = 7u + 15 + -1u + -20

Reorder the terms:
9 + 2u = 7u + 15 + -1u + -20

Reorder the terms:
9 + 2u = 15 + -20 + 7u + -1u

Combine like terms: 15 + -20 = -5
9 + 2u = -5 + 7u + -1u

Combine like terms: 7u + -1u = 6u
9 + 2u = -5 + 6u

Solving
9 + 2u = -5 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
9 + 2u + -6u = -5 + 6u + -6u

Combine like terms: 2u + -6u = -4u
9 + -4u = -5 + 6u + -6u

Combine like terms: 6u + -6u = 0
9 + -4u = -5 + 0
9 + -4u = -5

Add '-9' to each side of the equation.
9 + -9 + -4u = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -4u = -5 + -9
-4u = -5 + -9

Combine like terms: -5 + -9 = -14
-4u = -14

Divide each side by '-4'.
u = 3.5

Simplifying
u = 3.5

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