Solve the equation 6(3x + 4) = 4x − 4.

x equals negative ten sevenths
x equals negative four sevenths
x = −2
x = 2

x = - 2

Step-by-step explanation:

Given

6(3x + 4) = 4x - 4 ← distribute parenthesis on left side

18x + 24 = 4x - 4 ( subtract 4x from both sides )

14x + 24 = - 4 ( subtract 24 from both sides )

14x = - 28 ( divide both sides by 14 )

x = - 2

x = -2

Step-by-step explanation:

6(3x + 4) = 4x − 4

Distribute:

18x + 24 = 4x - 4

18x - 4x + 24 = -4

14x + 24 = -4

14x = -4 - 24

14x = -28

x = -28 / 14

x = -2

step-by-step explanation:

where is the questions

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1