 (13x+14)+(12x-23)
Remove parentheses.
13x+14+12x-23
Simplify each term.
Combine 13 and x.
x3+14+12x-23
Combine 12 and x.
x3+14+x2-23
x3+14+x2-23
To write x3 as a fraction with a common denominator, multiply by 22.
x3⋅22+x2+14-23
To write x2 as a fraction with a common denominator, multiply by 33.
x3⋅22+x2⋅33+14-23
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply x3 and 22.
x⋅23⋅2+x2⋅33+14-23
Multiply 3 by 2.
x⋅26+x2⋅33+14-23
Multiply x2 and 33.
x⋅26+x⋅32⋅3+14-23
Multiply 2 by 3.
x⋅26+x⋅36+14-23
x⋅26+x⋅36+14-23
Combine the numerators over the common denominator.
x⋅2+x⋅36+14-23
Reorder x and 3.
2⋅x+3⋅x6+14-23
Add 2⋅x and 3⋅x.
5⋅x6+14-23
To write 14 as a fraction with a common denominator, multiply by 33.
5×6+14⋅33-23
To write -23 as a fraction with a common denominator, multiply by 44.
5×6+14⋅33-23⋅44
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 14 and 33.
5×6+34⋅3-23⋅44
Multiply 4 by 3.
5×6+312-23⋅44
Multiply 23 and 44.
5×6+312-2⋅43⋅4
Multiply 3 by 4.
5×6+312-2⋅412
5×6+312-2⋅412
Combine the numerators over the common denominator.
5×6+3-2⋅412
Simplify the numerator.
Multiply -2 by 4.
5×6+3-812
Subtract 8 from 3.
5×6+-512
5×6+-512
Move the negative in front of the fraction.
5×6-512