3u+22=8(u+9)

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Solution for 3u+22=8(u+9) equation:


Simplifying
3u + 22 = 8(u + 9)

Reorder the terms:
22 + 3u = 8(u + 9)

Reorder the terms:
22 + 3u = 8(9 + u)
22 + 3u = (9 * 8 + u * 8)
22 + 3u = (72 + 8u)

Solving
22 + 3u = 72 + 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.
22 + 3u + -8u = 72 + 8u + -8u

Combine like terms: 3u + -8u = -5u
22 + -5u = 72 + 8u + -8u

Combine like terms: 8u + -8u = 0
22 + -5u = 72 + 0
22 + -5u = 72

Add '-22' to each side of the equation.
22 + -22 + -5u = 72 + -22

Combine like terms: 22 + -22 = 0
0 + -5u = 72 + -22
-5u = 72 + -22

Combine like terms: 72 + -22 = 50
-5u = 50

Divide each side by '-5'.
u = -10

Simplifying
u = -10

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