7b+5=105

Divide 10 by 5.

7b+5=2

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