174k views
4 votes
<

11
Solve each equation.
-5 (x-3)-2x = 46 - 4(x + 1)
(A x = 15
B x=3
Cx=9
D x=-9

User Nonika
by
7.5k points

1 Answer

2 votes
FINAL ANSWER:
D. x = -9

Step-by-step explanation:
To solve the equation -5(x - 3) - 2x = 46 - 4(x + 1), you can follow these steps:

1. First, distribute the constants and variables on both sides of the equation:
-5x + 15 - 2x = 46 - 4x - 4

2. Combine like terms on both sides of the equation:
-7x + 15 = 42 - 4x

3. Now, move the terms involving x to one side of the equation and the constants to the other side:
-7x + 4x = 42 - 15

4. Combine like terms on both sides:
-3x = 27

5. Finally, solve for x by dividing both sides by -3:
x = 27 / -3
x = -9

So, the solution to the equation is:
D) x = -9
User Sanja Melnichuk
by
7.9k points