Given the equation 3x - 3 = 6x + 1, select the reasoning that correctly solves for x.
Add 3, subtract 3x, then divide by -3
Add 3, subtract 6x, then divide by 3
Subtract 1, subtract 3x, then divide by 3
Subtract 1, subtract 6x, then divide by -3

Solution:

The equation given is

3x - 3 = 6x + 1

We need to isolate the variable and solve for x.

We use the balancing method to solve the equation.

Add 3 on both sides

3x - 3 + 3 = 6x + 1 + 3

3x = 6x + 4

Subtract 3x on both sides

3x - 3x = 6x + 4 - 3x

0 = 3x + 4

So we get

-3x = 4

Divide both sides by -3

x = -4/3

Therefore, “Add 3, subtract 3x, then divide by -3” correctly solves for x.

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Given the equation 3x - 3 = 6x + 1, select the reasoning that correctly solves for x.
Add 3, subtract 3x, then divide by -3
Add 3, subtract 6x, then divide by 3
Subtract 1, subtract 3x, then divide by 3
Subtract 1, subtract 6x, then divide by -3

Summary:

Given the equation 3x - 3 = 6x + 1, the reasoning that correctly solves for x is “Add 3, subtract 3x, then divide by -3”.