Which expression is equivalent to 1/4(12x + 16) + 3x + 7 Please help!!!

a. 15/4x + 7
b. 15x + 23
c. 6x + 23
d. 6x + 11

the answer is 6x+11

Step-by-step explanation:

1/4(12+16)+3x+7

1/4×4(3x+4)+3x+7

(3x+4)+3x+7

3x+4+3x+7

6x+11

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