6(u-1)+5u+1=5(u+6)-6

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Solution for 6(u-1)+5u+1=5(u+6)-6 equation:


Simplifying
6(u + -1) + 5u + 1 = 5(u + 6) + -6

Reorder the terms:
6(-1 + u) + 5u + 1 = 5(u + 6) + -6
(-1 * 6 + u * 6) + 5u + 1 = 5(u + 6) + -6
(-6 + 6u) + 5u + 1 = 5(u + 6) + -6

Reorder the terms:
-6 + 1 + 6u + 5u = 5(u + 6) + -6

Combine like terms: -6 + 1 = -5
-5 + 6u + 5u = 5(u + 6) + -6

Combine like terms: 6u + 5u = 11u
-5 + 11u = 5(u + 6) + -6

Reorder the terms:
-5 + 11u = 5(6 + u) + -6
-5 + 11u = (6 * 5 + u * 5) + -6
-5 + 11u = (30 + 5u) + -6

Reorder the terms:
-5 + 11u = 30 + -6 + 5u

Combine like terms: 30 + -6 = 24
-5 + 11u = 24 + 5u

Solving
-5 + 11u = 24 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-5 + 11u + -5u = 24 + 5u + -5u

Combine like terms: 11u + -5u = 6u
-5 + 6u = 24 + 5u + -5u

Combine like terms: 5u + -5u = 0
-5 + 6u = 24 + 0
-5 + 6u = 24

Add '5' to each side of the equation.
-5 + 5 + 6u = 24 + 5

Combine like terms: -5 + 5 = 0
0 + 6u = 24 + 5
6u = 24 + 5

Combine like terms: 24 + 5 = 29
6u = 29

Divide each side by '6'.
u = 4.833333333

Simplifying
u = 4.833333333

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