2a-9=(a+1)+13a+4

Since a is on the right side of the equation, switch the sides so it is on the left side of the equation.

(a+1)+13a+4=2a-9

Add a and 13a.

14a+1+4=2a-9

Add 1 and 4.

14a+5=2a-9

14a+5=2a-9

Subtract 2a from both sides of the equation.

14a+5-2a=-9

Subtract 2a from 14a.

12a+5=-9

12a+5=-9

Subtract 5 from both sides of the equation.

12a=-9-5

Subtract 5 from -9.

12a=-14

12a=-14

Divide each term in 12a=-14 by 12.

12a12=-1412

Cancel the common factor of 12.

Cancel the common factor.

12a12=-1412

Divide a by 1.

a=-1412

a=-1412

Simplify -1412.

Cancel the common factor of -14 and 12.

Factor 2 out of -14.

a=2(-7)12

Cancel the common factors.

Factor 2 out of 12.

a=2⋅-72⋅6

Cancel the common factor.

a=2⋅-72⋅6

Rewrite the expression.

a=-76

a=-76

a=-76

Move the negative in front of the fraction.

a=-76

a=-76

a=-76

The result can be shown in multiple forms.

Exact Form:

a=-76

Decimal Form:

a=-1.16‾

Mixed Number Form:

a=-116

Solve for a 2a-9=(a+1)+13a+4