7(u-3)=3(u+5)

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Solution for 7(u-3)=3(u+5) equation:


Simplifying
7(u + -3) = 3(u + 5)

Reorder the terms:
7(-3 + u) = 3(u + 5)
(-3 * 7 + u * 7) = 3(u + 5)
(-21 + 7u) = 3(u + 5)

Reorder the terms:
-21 + 7u = 3(5 + u)
-21 + 7u = (5 * 3 + u * 3)
-21 + 7u = (15 + 3u)

Solving
-21 + 7u = 15 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
-21 + 7u + -3u = 15 + 3u + -3u

Combine like terms: 7u + -3u = 4u
-21 + 4u = 15 + 3u + -3u

Combine like terms: 3u + -3u = 0
-21 + 4u = 15 + 0
-21 + 4u = 15

Add '21' to each side of the equation.
-21 + 21 + 4u = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 4u = 15 + 21
4u = 15 + 21

Combine like terms: 15 + 21 = 36
4u = 36

Divide each side by '4'.
u = 9

Simplifying
u = 9

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