# Solve for u 5/(u-3)-2=-8

5u-3-2=-8
Move all terms not containing u to the right side of the equation.
Add 2 to both sides of the equation.
5u-3=-8+2
5u-3=-6
5u-3=-6
Solve for u.
Multiply each term by u-3 and simplify.
Multiply each term in 5u-3=-6 by u-3.
5u-3⋅(u-3)=-6⋅(u-3)
Cancel the common factor of u-3.
Cancel the common factor.
5u-3⋅(u-3)=-6⋅(u-3)
Rewrite the expression.
5=-6⋅(u-3)
5=-6⋅(u-3)
Simplify -6⋅(u-3).
Apply the distributive property.
5=-6u-6⋅-3
Multiply -6 by -3.
5=-6u+18
5=-6u+18
5=-6u+18
Rewrite the equation as -6u+18=5.
-6u+18=5
Move all terms not containing u to the right side of the equation.
Subtract 18 from both sides of the equation.
-6u=5-18
Subtract 18 from 5.
-6u=-13
-6u=-13
Divide each term by -6 and simplify.
Divide each term in -6u=-13 by -6.
-6u-6=-13-6
Cancel the common factor of -6.
Cancel the common factor.
-6u-6=-13-6
Divide u by 1.
u=-13-6
u=-13-6
Dividing two negative values results in a positive value.
u=136
u=136
u=136
The result can be shown in multiple forms.
Exact Form:
u=136
Decimal Form:
u=2.16‾
Mixed Number Form:
u=216
Solve for u 5/(u-3)-2=-8

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