18b-56=23

Combine 18 and b.

b8-56=23

Add 56 to both sides of the equation.

b8=23+56

To write 23 as a fraction with a common denominator, multiply by 22.

b8=23⋅22+56

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

Multiply 23 and 22.

b8=2⋅23⋅2+56

Multiply 3 by 2.

b8=2⋅26+56

b8=2⋅26+56

Combine the numerators over the common denominator.

b8=2⋅2+56

Simplify the numerator.

Multiply 2 by 2.

b8=4+56

Add 4 and 5.

b8=96

b8=96

Cancel the common factor of 9 and 6.

Factor 3 out of 9.

b8=3(3)6

Cancel the common factors.

Factor 3 out of 6.

b8=3⋅33⋅2

Cancel the common factor.

b8=3⋅33⋅2

Rewrite the expression.

b8=32

b8=32

b8=32

b8=32

Multiply both sides of the equation by 8.

8⋅b8=8⋅32

Cancel the common factor of 8.

Cancel the common factor.

8⋅b8=8⋅32

Rewrite the expression.

b=8⋅32

b=8⋅32

Simplify 8⋅32.

Cancel the common factor of 2.

Factor 2 out of 8.

b=2(4)⋅32

Cancel the common factor.

b=2⋅4⋅32

Rewrite the expression.

b=4⋅3

b=4⋅3

Multiply 4 by 3.

b=12

b=12

b=12

Solve for b 1/8b-5/6=2/3