# Solve for w -5=3/(w+7) -5=3w+7
Rewrite the equation as 3w+7=-5.
3w+7=-5
Solve for w.
Multiply each term by w+7 and simplify.
Multiply each term in 3w+7=-5 by w+7.
3w+7⋅(w+7)=-5⋅(w+7)
Cancel the common factor of w+7.
Cancel the common factor.
3w+7⋅(w+7)=-5⋅(w+7)
Rewrite the expression.
3=-5⋅(w+7)
3=-5⋅(w+7)
Simplify -5⋅(w+7).
Apply the distributive property.
3=-5w-5⋅7
Multiply -5 by 7.
3=-5w-35
3=-5w-35
3=-5w-35
Rewrite the equation as -5w-35=3.
-5w-35=3
Move all terms not containing w to the right side of the equation.
Add 35 to both sides of the equation.
-5w=3+35
Add 3 and 35.
-5w=38
-5w=38
Divide each term by -5 and simplify.
Divide each term in -5w=38 by -5.
-5w-5=38-5
Cancel the common factor of -5.
Cancel the common factor.
-5w-5=38-5
Divide w by 1.
w=38-5
w=38-5
Move the negative in front of the fraction.
w=-385
w=-385
w=-385
The result can be shown in multiple forms.
Exact Form:
w=-385
Decimal Form:
w=-7.6
Mixed Number Form:
w=-735
Solve for w -5=3/(w+7)

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