12-(3u-8)+6u=9(u+10)+14

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Solution for 12-(3u-8)+6u=9(u+10)+14 equation:


Simplifying
12 + -1(3u + -8) + 6u = 9(u + 10) + 14

Reorder the terms:
12 + -1(-8 + 3u) + 6u = 9(u + 10) + 14
12 + (-8 * -1 + 3u * -1) + 6u = 9(u + 10) + 14
12 + (8 + -3u) + 6u = 9(u + 10) + 14

Combine like terms: 12 + 8 = 20
20 + -3u + 6u = 9(u + 10) + 14

Combine like terms: -3u + 6u = 3u
20 + 3u = 9(u + 10) + 14

Reorder the terms:
20 + 3u = 9(10 + u) + 14
20 + 3u = (10 * 9 + u * 9) + 14
20 + 3u = (90 + 9u) + 14

Reorder the terms:
20 + 3u = 90 + 14 + 9u

Combine like terms: 90 + 14 = 104
20 + 3u = 104 + 9u

Solving
20 + 3u = 104 + 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.
20 + 3u + -9u = 104 + 9u + -9u

Combine like terms: 3u + -9u = -6u
20 + -6u = 104 + 9u + -9u

Combine like terms: 9u + -9u = 0
20 + -6u = 104 + 0
20 + -6u = 104

Add '-20' to each side of the equation.
20 + -20 + -6u = 104 + -20

Combine like terms: 20 + -20 = 0
0 + -6u = 104 + -20
-6u = 104 + -20

Combine like terms: 104 + -20 = 84
-6u = 84

Divide each side by '-6'.
u = -14

Simplifying
u = -14

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