7-5(x+6)= -7x-17 what value of x makes the equation true?

x=3

Step-by-step explanation:

7-5(x+6)= -7x-17

Distribute

7 - 5x-30 = -7x-17

Combine like terms

-5x-23= -7x-17

Add 7x to each side

-5x-23+7x= -7x-17+7x

2x -23 = -17

Add 23 to each side

2x-23+23 = -17+23

2x= 6

Divide by 2

2x/2 = 6/2

x =3

x = 3

Step-by-step explanation:

7 - 5(x + 6) = -7x - 17

~Simplify left side

7 - 5x - 30 = -7x - 17

~Combine like terms

-5x - 23 = -7x - 17

~Add 23 to both sides

-5x = -7x + 6

~Add 7x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)