(13x+14)+(12x-23)

Remove parentheses.

13x+14+12x-23

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

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

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

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

Add (1/3x+1/4)+(1/2x-2/3)