13. Distributive Property
3(x - 1) = 3x - ?

The distributive property is a very important property used in algebra.

It states that when we have the statement a(b + c), we can "distribute" the

a by multiplying a times both terms that are inside the parenthses.

So that would give us a(b) + b(c) or ab + bc.

The same process is done here.

Distribute the 3 through both terms to get 3(x) - 3(1) or 3x - 3.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3