Question

2/3 (x+6) = -18. What is the value of x in this equation?

Answer 1

Step-by-step explanation:To solve for x in the equation 2/3 (x+6) = -18, we can follow these steps:

Simplify the left side of the equation by distributing the 2/3 to the expression inside the parentheses:

2/3 (x+6) = 2/3 x + 4

Set the simplified left side of the equation equal to the right side of the equation:

2/3 x + 4 = -18

Subtract 4 from both sides of the equation to isolate the term with x:

2/3 x = -22

Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, to solve for x:

x = -22 × 3/2

x = -33

Therefore, the value of x in the equation 2/3 (x+6) = -18 is -33.

Answer 2

x= -33

Explanation:

2/3 (x+6) = -18

(x+6)= -18(3)/2

x+6 = -27

x= -27 - 6

x= -33