3(-u-5)+8(2u+1)=

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Solution for 3(-u-5)+8(2u+1)= equation: 


Simplifying
3(-1u + -5) + 8(2u + 1) = 0

Reorder the terms:
3(-5 + -1u) + 8(2u + 1) = 0
(-5 * 3 + -1u * 3) + 8(2u + 1) = 0
(-15 + -3u) + 8(2u + 1) = 0

Reorder the terms:
-15 + -3u + 8(1 + 2u) = 0
-15 + -3u + (1 * 8 + 2u * 8) = 0
-15 + -3u + (8 + 16u) = 0

Reorder the terms:
-15 + 8 + -3u + 16u = 0

Combine like terms: -15 + 8 = -7
-7 + -3u + 16u = 0

Combine like terms: -3u + 16u = 13u
-7 + 13u = 0

Solving
-7 + 13u = 0

Solving for variable 'u'.

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

Add '7' to each side of the equation.
-7 + 7 + 13u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 13u = 0 + 7
13u = 0 + 7

Combine like terms: 0 + 7 = 7
13u = 7

Divide each side by '13'.
u = 0.5384615385

Simplifying
u = 0.5384615385

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