Ethan solves this equation, as shown. Step 1: -2(x+4)= -16 - 2x+4) -16 Step 2: -2 -2 Step 3: X+4= -8
Step 4: x +4-4= -8-4
Step 5: x= -12
In which step, if any, did Ethan first make a mistake?
A In Step 2, Ethan should have divided by 2.
B In Step 3, Ethan's quotient should be 8.
C In Step 4, Ethan should have added 4 to both sides.
D Ethan did not make a mistake.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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