Question

-2x + 13 = -7x + 28

Answer 1

x=3

Explanation:

step one: first, you want to make it so that the variable x is only on one side. to do this, you use inverse operations. this means adding 7x to both sides.

-2x+7x=5x -7x+7x cancels itself out

the equation is now 5x+13=28

step two: next, you want to isolate the variable x. to do this you are going to use inverse operations yet again, this time subtracting 13 from both sides.

13-13=0 28-13=15

the equation is now 5x=15

step three: lastly, you want get x by itself without the 5 in front of it. using inverse operations for the last time, you are going to divide both sides by 5 because 5x means "5 times x" and division is the opposite of multiplication.

5x/5=x 15/5=3

the answer is now x=3

Answer 2

x= 3.

Explanation:

1. Write the equation.

`-2x + 13 = -7x + 28`

2. Add "7x" to both sides of the equation.

`-2x + 13 +7x= -7x + 28+7x\\ \\13+5x=28`

3. Subtract "13" from both sides of the equation.

`-13+13+5x=28-13\\ \\5x=15`

4. Divide both sides by "5".

`(5x)/(5)=(15)/(5) \\ \\x=(15)/(5)\\ \\x=3`

5. Verify.

If the result is correct, when we substitute the value of x in the original equation, it should return the same value on both sides of the equal (=) symbol. Let's test it!

`-2(3 ) + 13 = -7(3) + 28\\ \\-6+13=-21+28\\ \\7=7`

That's correct! Therefore, the correct answer is x=3.