Solve -x/7-2/3=4/21 please help thank you

x = -6

Step-by-step explanation:

Step 1:

Simplify

-1/7x + -2/3 = 4/21

Step 2:

Add 2/3 to both sides

-1/7x + -2/3 + 2/3 = 4/21 + 2/3

-1/7x = 6/7

Step 3:

Multiply both sides by 7/-1

7/-1 x -1/7x = 7/-1 x 6/7

x = -6

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°