# Solve for b 5/8*(b-4)=2

58⋅(b-4)=2
Multiply both sides of the equation by 85.
85⋅58⋅(b-4)=85⋅2
Simplify both sides of the equation.
Simplify 85⋅58⋅(b-4).
Cancel the common factor of 8.
Cancel the common factor.
85⋅58⋅(b-4)=85⋅2
Rewrite the expression.
15⋅5⋅(b-4)=85⋅2
15⋅5⋅(b-4)=85⋅2
Cancel the common factor of 5.
Cancel the common factor.
15⋅5⋅(b-4)=85⋅2
Rewrite the expression.
1⋅(b-4)=85⋅2
1⋅(b-4)=85⋅2
Multiply b-4 by 1.
b-4=85⋅2
b-4=85⋅2
Multiply 85⋅2.
Combine 85 and 2.
b-4=8⋅25
Multiply 8 by 2.
b-4=165
b-4=165
b-4=165
Move all terms not containing b to the right side of the equation.
Add 4 to both sides of the equation.
b=165+4
To write 4 as a fraction with a common denominator, multiply by 55.
b=165+4⋅55
Combine 4 and 55.
b=165+4⋅55
Combine the numerators over the common denominator.
b=16+4⋅55
Simplify the numerator.
Multiply 4 by 5.
b=16+205
b=365
b=365
b=365
The result can be shown in multiple forms.
Exact Form:
b=365
Decimal Form:
b=7.2
Mixed Number Form:
b=715
Solve for b 5/8*(b-4)=2