3u+7=7(u-3)

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


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

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

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

Solving
7 + 3u = -21 + 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.
7 + 3u + -7u = -21 + 7u + -7u

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

Combine like terms: 7u + -7u = 0
7 + -4u = -21 + 0
7 + -4u = -21

Add '-7' to each side of the equation.
7 + -7 + -4u = -21 + -7

Combine like terms: 7 + -7 = 0
0 + -4u = -21 + -7
-4u = -21 + -7

Combine like terms: -21 + -7 = -28
-4u = -28

Divide each side by '-4'.
u = 7

Simplifying
u = 7

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