Question

2/3 (x - 7) = -2 what does x equal

(2/3 is a fraction not dividing)

Answer 1

Explanation:

2/3(x - 7) = -2....distribute the 2/3 thru the parenthesis

2/3x - 14/3 = -2 ....if u want to get rid of the fractions, multiply by the common denominator of 3, and u get :

2x - 14 = -6 ....add 14 to both sides

2x = -6 + 14

2x = 8 ....divide by 2

x = 8/2....reduce

x = 4 <=====

check it..

2/3(x - 7) = -2

2/3(4 - 7) = -2

2/3 (-3) = -2

-6/3 = -2

-2 = -2 (correct)....it checks out :)

Answer 2

x = 4

Explanation:

Given

`(2)/(3)`(x - 7) = - 2

Multiply both sides by 3 to clear the fraction

2(x - 7) = - 6 ← distribute left side

2x - 14 = - 6 ( add 14 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4