Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-3(5x + 2)- 52 = 8x - 4
A)42
B)6
C)294
D)-6

Question

Quizplus · Accepted Answer

First, distribute the 3 on the left side:
15x + 6 - 52 = 8x - 4
Combine like terms:
15x - 46 = 8x - 4
Subtract 8x from both sides:
7x - 46 = -4
Add 46 to both sides:
7x = 42
Divide by 7:
x = 6
Therefore, the answer is B. First, we use the distributive property to simplify the left side of the equation:

3(5x + 2) - 52 = 15x + 6 - 52

Next, we simplify by combining like terms:

15x - 46 = 8x - 4

We isolate the variable by adding 46 to both sides:

15x = 8x + 42

Finally, we solve for x by subtracting 8x from both sides:

7x = 42

x = 6

Therefore, the solution to the equation is x = 6, which corresponds to choice B.

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