What is -2 1/4x+3 7/12x-4 2/3 simplified

  (4x -14)/3

Step-by-step explanation:

Assuming you intend mixed number coefficients, only the coefficients of x can be combined.

  (-2 1/4)x +(3 7/12)x -(4 2/3) = x(-2 1/4 +3 7/12) -(4 2/3)

The mixed numbers are added in the usual way.

  (-2 1/4) +(3 7/12) = (-2 +3) +(-1/4 +7/12) = 1 +(-3/12 +7/12) = 1 4/12 = 1 1/3

So the expression simplifies to ...

  (1 1/3)x -(4 2/3)

This might be better written as ...

  (4x -14)/3

Comment on mixed numbers

It is hard to write mixed numbers so they can be properly interpreted in an algebraic expression. In general, they are better written as improper fractions or as decimal numbers (if the decimal terminates).

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2