3(u+5)=8u+40

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Solution for 3(u+5)=8u+40 equation:


Simplifying
3(u + 5) = 8u + 40

Reorder the terms:
3(5 + u) = 8u + 40
(5 * 3 + u * 3) = 8u + 40
(15 + 3u) = 8u + 40

Reorder the terms:
15 + 3u = 40 + 8u

Solving
15 + 3u = 40 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
15 + 3u + -8u = 40 + 8u + -8u

Combine like terms: 3u + -8u = -5u
15 + -5u = 40 + 8u + -8u

Combine like terms: 8u + -8u = 0
15 + -5u = 40 + 0
15 + -5u = 40

Add '-15' to each side of the equation.
15 + -15 + -5u = 40 + -15

Combine like terms: 15 + -15 = 0
0 + -5u = 40 + -15
-5u = 40 + -15

Combine like terms: 40 + -15 = 25
-5u = 25

Divide each side by '-5'.
u = -5

Simplifying
u = -5

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