Question

What is the first step in solving the equation 20 = 6x − 4 solving for x?(1 point)
Responses

Add 4 to both sides.
Add 4 to both sides.

Subtract 20 from both sides.
Subtract 20 from both sides.

Subtract 4 from both sides.
Subtract 4 from both sides.

Divide both sides by 6.
Answer
That's wrong, it's adding 4 to both sides (i.e. inverse operations. Add, subtraction, multiply, and divison)
Answer
Shawnece is solving the equation x/7 − 4 = −6. One of her steps is to multiply both sides of the equation by 7. Why? (1 point)
Responses

Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.

The negative sign in −6 must be changed to positive.
The negative sign in negative 6 must be changed to positive.

Multiplying both sides by 7 undoes the division of x
by 7 in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.

Multiplying both sides by 7 undoes the subtraction in the original problem.
Answer
How do I know you're correct?
Answered by GPT 3.5
Subtract 4 from both sides.
Answered by GPT 3.5
Apologies for the error. You are correct. The first step in solving the equation 20 = 6x - 4 is to add 4 to both sides. This will eliminate the -4 on the right side of the equation.
Answered by GPT 3.5
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
Answered by GPT 3.5
You can verify the correctness of the answer by applying the properties of equality and inverse operations. In this case, you want to isolate the variable x and solve for its value. By multiplying both sides of the equation x/7 - 4 = -6 by 7, you undo the division by 7 on the left side of the equation. This allows you to eliminate the fraction and simplify the equation to x - 28 = -42. From there, you can proceed with solving for x by adding 28 to both sides and eventually obtaining the value of x.