-2(3u-8)+3u=5(u+6)

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Solution for -2(3u-8)+3u=5(u+6) equation:


Simplifying
-2(3u + -8) + 3u = 5(u + 6)

Reorder the terms:
-2(-8 + 3u) + 3u = 5(u + 6)
(-8 * -2 + 3u * -2) + 3u = 5(u + 6)
(16 + -6u) + 3u = 5(u + 6)

Combine like terms: -6u + 3u = -3u
16 + -3u = 5(u + 6)

Reorder the terms:
16 + -3u = 5(6 + u)
16 + -3u = (6 * 5 + u * 5)
16 + -3u = (30 + 5u)

Solving
16 + -3u = 30 + 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.
16 + -3u + -5u = 30 + 5u + -5u

Combine like terms: -3u + -5u = -8u
16 + -8u = 30 + 5u + -5u

Combine like terms: 5u + -5u = 0
16 + -8u = 30 + 0
16 + -8u = 30

Add '-16' to each side of the equation.
16 + -16 + -8u = 30 + -16

Combine like terms: 16 + -16 = 0
0 + -8u = 30 + -16
-8u = 30 + -16

Combine like terms: 30 + -16 = 14
-8u = 14

Divide each side by '-8'.
u = -1.75

Simplifying
u = -1.75

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