# Solve for u 5/3+5/3=2/3u+5/3u 53+53=23u+53u
Rewrite the equation as 23u+53u=53+53.
23u+53u=53+53
Simplify 23u+53u.
Simplify each term.
Combine 23 and u.
2u3+53u=53+53
Combine 53 and u.
2u3+5u3=53+53
2u3+5u3=53+53
Simplify terms.
Combine the numerators over the common denominator.
2u+5u3=53+53
Add 2u and 5u.
7u3=53+53
7u3=53+53
7u3=53+53
Simplify 53+53.
Combine the numerators over the common denominator.
7u3=5+53
Add 5 and 5.
7u3=103
7u3=103
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
7u=10
Divide each term by 7 and simplify.
Divide each term in 7u=10 by 7.
7u7=107
Cancel the common factor of 7.
Cancel the common factor.
7u7=107
Divide u by 1.
u=107
u=107
u=107
The result can be shown in multiple forms.
Exact Form:
u=107
Decimal Form:
u=1.428571‾
Mixed Number Form:
u=137
Solve for u 5/3+5/3=2/3u+5/3u

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