Pls help me solve for x. And thank you so much

x=11

Step-by-step explanation:

given -2 + 4x = 6(x-4) the objective is to get the variable (x) on one side and the constant on the other using inverse operations

-2 + 4x = 6(x-4)

step 1 distribute the 6 to x and -4

6*x=6x

6*-4=-24

now we have

-2 + 4x = 6x - 24

step 2 add 24 to each side

-2+24=22

-24+24 cancels out

now we have 22+4x=6x

now we want to get rid of the 4x

to do so we subtract 4x from each side

4x-4x cancels out

6x-4x=2x

now we have

2x = 22

step 4 divide each side by 2

22/2=11

2x/2=x

we're left with x = 11

all it means is function 3

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°