Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1

Question

(4 points)

5x−12−6x=−10x+7−1
Step 1: Combine like terms
,

Step 2: Get x-terms on same side of equation


Step 3: Get constants on same side of equation

Step 4: Get the x by itself by using the inverse operation

Answer 1

Step 1: Combine like terms
- x - 5 = - 3x + 6

Step 2: Get x-terms on same side of equation
- x + 3x = 6 + 5

Step 3: Get constants on same side of equation
2x = 11

Step 4: Get the x by itself by using the inverse operation
x = 11/2 or x = 5.5

Answer 2

are you sure?

Answer 3

Apologies for the incorrect response earlier. Let's go through the steps again:

Step 1: Combine like terms
5x - 12 - 6x = -10x + 7 - 1
- x - 12 = -10x + 6

Step 2: Get x-terms on same side of equation
- x + 10x = 6 + 12
9x = 18

Step 3: Get constants on same side of equation
9x = 18 - 0
9x = 18

Step 4: Get the x by itself by using the inverse operation
x = 18 / 9
x = 2

So, the solution to the equation is x = 2.

Answer 4

Match the description of the one variable equation with the number of solutions it will have.

ax+c1=bx+c2
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the
The number of x's on both sides of the equation is different a≠b
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2

Answer 5

The number of x's on both sides of the equation is different a≠b

Answer 6

Order the steps for solving the equation: 2x−5=3(4x+5)

Answer 7

1. Distribute the 3 to the terms inside the parentheses on the right side of the equation: 2x - 5 = 12x + 15

2. Combine like terms on each side of the equation: 2x - 12x = 15 + 5

3. Simplify: -10x = 20

4. Divide both sides of the equation by -10 to isolate x: x = -2

Answer 8

Solving the inequality for x, which statement shows a good first step and which is the correct solution?

x−6<x4
(2 points)

Answer 9

A good first step for solving the inequality x-6 < x+4 would be to subtract x from both sides of the inequality to eliminate the variable term.

x - 6 - x < x + 4 - x

Simplifying, we get:

-6 < 4

The correct solution is that the inequality -6 < 4 is always true for any value of x.