5u+45=8(u+3)

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Solution for 5u+45=8(u+3) equation: 


Simplifying
5u + 45 = 8(u + 3)

Reorder the terms:
45 + 5u = 8(u + 3)

Reorder the terms:
45 + 5u = 8(3 + u)
45 + 5u = (3 * 8 + u * 8)
45 + 5u = (24 + 8u)

Solving
45 + 5u = 24 + 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.
45 + 5u + -8u = 24 + 8u + -8u

Combine like terms: 5u + -8u = -3u
45 + -3u = 24 + 8u + -8u

Combine like terms: 8u + -8u = 0
45 + -3u = 24 + 0
45 + -3u = 24

Add '-45' to each side of the equation.
45 + -45 + -3u = 24 + -45

Combine like terms: 45 + -45 = 0
0 + -3u = 24 + -45
-3u = 24 + -45

Combine like terms: 24 + -45 = -21
-3u = -21

Divide each side by '-3'.
u = 7

Simplifying
u = 7

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