 17×2-7x+67×2+14x
Simplify each term.
Factor 7x out of 7×2-7x.
Factor 7x out of 7×2.
17x(x)-7x+67×2+14x
Factor 7x out of -7x.
17x(x)+7x(-1)+67×2+14x
Factor 7x out of 7x(x)+7x(-1).
17x(x-1)+67×2+14x
17x(x-1)+67×2+14x
Factor 7x out of 7×2+14x.
Factor 7x out of 7×2.
17x(x-1)+67x(x)+14x
Factor 7x out of 14x.
17x(x-1)+67x(x)+7x(2)
Factor 7x out of 7x(x)+7x(2).
17x(x-1)+67x(x+2)
17x(x-1)+67x(x+2)
17x(x-1)+67x(x+2)
To write 17x(x-1) as a fraction with a common denominator, multiply by x+2x+2.
17x(x-1)⋅x+2x+2+67x(x+2)
To write 67x(x+2) as a fraction with a common denominator, multiply by x-1x-1.
17x(x-1)⋅x+2x+2+67x(x+2)⋅x-1x-1
Write each expression with a common denominator of 7x(x-1)(x+2), by multiplying each by an appropriate factor of 1.
Multiply 17x(x-1) and x+2x+2.
x+27x(x-1)(x+2)+67x(x+2)⋅x-1x-1
Multiply 67x(x+2) and x-1x-1.
x+27x(x-1)(x+2)+6(x-1)7x(x+2)(x-1)
Reorder the factors of 7x(x-1)(x+2).
x+27x(x+2)(x-1)+6(x-1)7x(x+2)(x-1)
x+27x(x+2)(x-1)+6(x-1)7x(x+2)(x-1)
Combine the numerators over the common denominator.
x+2+6(x-1)7x(x+2)(x-1)
Simplify the numerator.
Apply the distributive property.
x+2+6x+6⋅-17x(x+2)(x-1)
Multiply 6 by -1.
x+2+6x-67x(x+2)(x-1)
Add x and 6x.
7x+2-67x(x+2)(x-1)
Subtract 6 from 2.
7x-47x(x+2)(x-1)
7x-47x(x+2)(x-1)