# Solve for x 1/6x-1/12*(x-1)=1/2 16x-112⋅(x-1)=12
Simplify 16x-112⋅(x-1).
Simplify each term.
Combine 16 and x.
x6-112⋅(x-1)=12
Apply the distributive property.
x6-112x-112⋅-1=12
Combine x and 112.
x6-x12-112⋅-1=12
Multiply -112⋅-1.
Multiply -1 by -1.
x6-x12+1(112)=12
Multiply 112 by 1.
x6-x12+112=12
x6-x12+112=12
x6-x12+112=12
To write x6 as a fraction with a common denominator, multiply by 22.
x6⋅22-x12+112=12
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply x6 and 22.
x⋅26⋅2-x12+112=12
Multiply 6 by 2.
x⋅212-x12+112=12
x⋅212-x12+112=12
Combine the numerators over the common denominator.
x⋅2-x12+112=12
Subtract x from x⋅2.
Reorder x and 2.
2⋅x-x12+112=12
Subtract x from 2⋅x.
x12+112=12
x12+112=12
x12+112=12
Move all terms not containing x to the right side of the equation.
Subtract 112 from both sides of the equation.
x12=12-112
To write 12 as a fraction with a common denominator, multiply by 66.
x12=12⋅66-112
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 12 and 66.
x12=62⋅6-112
Multiply 2 by 6.
x12=612-112
x12=612-112
Combine the numerators over the common denominator.
x12=6-112
Subtract 1 from 6.
x12=512
x12=512
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
x=5
Solve for x 1/6x-1/12*(x-1)=1/2

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