5u+47=6(u+5)

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Solution for 5u+47=6(u+5) equation:


Simplifying
5u + 47 = 6(u + 5)

Reorder the terms:
47 + 5u = 6(u + 5)

Reorder the terms:
47 + 5u = 6(5 + u)
47 + 5u = (5 * 6 + u * 6)
47 + 5u = (30 + 6u)

Solving
47 + 5u = 30 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
47 + 5u + -6u = 30 + 6u + -6u

Combine like terms: 5u + -6u = -1u
47 + -1u = 30 + 6u + -6u

Combine like terms: 6u + -6u = 0
47 + -1u = 30 + 0
47 + -1u = 30

Add '-47' to each side of the equation.
47 + -47 + -1u = 30 + -47

Combine like terms: 47 + -47 = 0
0 + -1u = 30 + -47
-1u = 30 + -47

Combine like terms: 30 + -47 = -17
-1u = -17

Divide each side by '-1'.
u = 17

Simplifying
u = 17

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