3(u+3)=7u-23

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Solution for 3(u+3)=7u-23 equation:


Simplifying
3(u + 3) = 7u + -23

Reorder the terms:
3(3 + u) = 7u + -23
(3 * 3 + u * 3) = 7u + -23
(9 + 3u) = 7u + -23

Reorder the terms:
9 + 3u = -23 + 7u

Solving
9 + 3u = -23 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
9 + 3u + -7u = -23 + 7u + -7u

Combine like terms: 3u + -7u = -4u
9 + -4u = -23 + 7u + -7u

Combine like terms: 7u + -7u = 0
9 + -4u = -23 + 0
9 + -4u = -23

Add '-9' to each side of the equation.
9 + -9 + -4u = -23 + -9

Combine like terms: 9 + -9 = 0
0 + -4u = -23 + -9
-4u = -23 + -9

Combine like terms: -23 + -9 = -32
-4u = -32

Divide each side by '-4'.
u = 8

Simplifying
u = 8

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