# Solve for b 7/(b+5)=10/5

7b+5=105
Divide 10 by 5.
7b+5=2
Solve for b.
Multiply each term by b+5 and simplify.
Multiply each term in 7b+5=2 by b+5.
7b+5⋅(b+5)=2⋅(b+5)
Cancel the common factor of b+5.
Cancel the common factor.
7b+5⋅(b+5)=2⋅(b+5)
Rewrite the expression.
7=2⋅(b+5)
7=2⋅(b+5)
Simplify 2⋅(b+5).
Apply the distributive property.
7=2b+2⋅5
Multiply 2 by 5.
7=2b+10
7=2b+10
7=2b+10
Rewrite the equation as 2b+10=7.
2b+10=7
Move all terms not containing b to the right side of the equation.
Subtract 10 from both sides of the equation.
2b=7-10
Subtract 10 from 7.
2b=-3
2b=-3
Divide each term by 2 and simplify.
Divide each term in 2b=-3 by 2.
2b2=-32
Cancel the common factor of 2.
Cancel the common factor.
2b2=-32
Divide b by 1.
b=-32
b=-32
Move the negative in front of the fraction.
b=-32
b=-32
b=-32
The result can be shown in multiple forms.
Exact Form:
b=-32
Decimal Form:
b=-1.5
Mixed Number Form:
b=-112
Solve for b 7/(b+5)=10/5

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