5u+7(u+2)=38

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Solution for 5u+7(u+2)=38 equation:


Simplifying
5u + 7(u + 2) = 38

Reorder the terms:
5u + 7(2 + u) = 38
5u + (2 * 7 + u * 7) = 38
5u + (14 + 7u) = 38

Reorder the terms:
14 + 5u + 7u = 38

Combine like terms: 5u + 7u = 12u
14 + 12u = 38

Solving
14 + 12u = 38

Solving for variable 'u'.

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

Add '-14' to each side of the equation.
14 + -14 + 12u = 38 + -14

Combine like terms: 14 + -14 = 0
0 + 12u = 38 + -14
12u = 38 + -14

Combine like terms: 38 + -14 = 24
12u = 24

Divide each side by '12'.
u = 2

Simplifying
u = 2

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