7(u-8)=3(u+2)

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Solution for 7(u-8)=3(u+2) equation:


Simplifying
7(u + -8) = 3(u + 2)

Reorder the terms:
7(-8 + u) = 3(u + 2)
(-8 * 7 + u * 7) = 3(u + 2)
(-56 + 7u) = 3(u + 2)

Reorder the terms:
-56 + 7u = 3(2 + u)
-56 + 7u = (2 * 3 + u * 3)
-56 + 7u = (6 + 3u)

Solving
-56 + 7u = 6 + 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.
-56 + 7u + -3u = 6 + 3u + -3u

Combine like terms: 7u + -3u = 4u
-56 + 4u = 6 + 3u + -3u

Combine like terms: 3u + -3u = 0
-56 + 4u = 6 + 0
-56 + 4u = 6

Add '56' to each side of the equation.
-56 + 56 + 4u = 6 + 56

Combine like terms: -56 + 56 = 0
0 + 4u = 6 + 56
4u = 6 + 56

Combine like terms: 6 + 56 = 62
4u = 62

Divide each side by '4'.
u = 15.5

Simplifying
u = 15.5

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