A shelf is built on a wall, as shown below. What is the value of x?
(2x+1) + (3x-1)

x = 18

Step-by-step explanation:

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°. So, using this property,

2x+1+3x-1+90 = 180

2x+3x = 180-90

5x = 90

x = 18

So, the value of x is equal to 18.

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