Show all work to receive credit for every problem. Solve each equation for x.

6 - 7x + 4 - 11x = 46

x=-2

Step-by-step explanation:

6-7x+4-11x=46

combine like terms

10-18x=46

-10 both sides

-18x=36

/-18 both sides

x=-2

x = - 2

Step-by-step explanation:

6 - 7x + 4 - 11x = 46

Solve for x:

10 - 18 x = 46

Subtract 10 from both sides:

(10 - 10) - 18 x = 46 - 10

10 - 10 = 0:

-18 x = 46 - 10

46 - 10 = 36:

-18 x = 36

Divide both sides of - 18 x = 36 by - 18:

(-18 x) / (-18) = 36 / (-18)

(-18) / (-18) = 1:

x = 36 / (-18)

The gcd of 36 and - 18 is 18, so 36 / (-18) = (18*2) / (18 (-1)) = 18/18*2 / (-1) = 2 / (-1):

x = 2 / (-1)

Multiply numerator and denominator of 2 / (-1) by - 1:

Answer: x = - 2