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

18b-56=23
Combine 18 and b.
b8-56=23
Move all terms not containing b to the right side of the equation.
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
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
Simplify both sides of the equation.
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

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