Question

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

6 - 7x + 4 -11x = 46

Answer 1

x = -2

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

Answer 2

x=-2

Explanation:

6-7x+4-11x=46

combine like terms

10-18x=46

-10 both sides

-18x=36

/-18 both sides

x=-2