3u-42=9(u-6)

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Solution for 3u-42=9(u-6) equation:


Simplifying
3u + -42 = 9(u + -6)

Reorder the terms:
-42 + 3u = 9(u + -6)

Reorder the terms:
-42 + 3u = 9(-6 + u)
-42 + 3u = (-6 * 9 + u * 9)
-42 + 3u = (-54 + 9u)

Solving
-42 + 3u = -54 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
-42 + 3u + -9u = -54 + 9u + -9u

Combine like terms: 3u + -9u = -6u
-42 + -6u = -54 + 9u + -9u

Combine like terms: 9u + -9u = 0
-42 + -6u = -54 + 0
-42 + -6u = -54

Add '42' to each side of the equation.
-42 + 42 + -6u = -54 + 42

Combine like terms: -42 + 42 = 0
0 + -6u = -54 + 42
-6u = -54 + 42

Combine like terms: -54 + 42 = -12
-6u = -12

Divide each side by '-6'.
u = 2

Simplifying
u = 2

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