How do you Simplify the given equation?

Question

17x - 6 + 3x - 5 = x + 11 + 4x

1. 20x - 11 = 5x + 11

2. 20x + 1 = 5x + 11

3. 9x = 16x

Answer 1

I find it easiest to rearrange the terms, so that your x terms are next to each other on each side. Doing so would give you:

17x + 3x - 6 - 5 = x + 4x + 11

Then you can simplify by combining the coefficients (the numbers in front of the x variable). For example, 17x + 3x = 20x. Try to use this principle to continue simplifying the equation! (Hint: Also do the same to the regular numbers. Example: -6 - 5 = -11)

Your answer should be 20x - 11 = 5x + 11, and therefore, number 1.

Answer 2

It's number 1

Focus on the left side first. Re-arrange the terms to put all the like terms together. Then, add or subtract all the like terms, i.e. the terms with an x in it. You'll get:

17x + 3x - 6 - 5 then

20x - 6 - 5 then

20x - 11

Now onto the right side, re-arrange like you did for the left side and you'll get

x + 4x + 11 then adding them you get

5x + 11

So your equation is now:

20x - 11 = 5x + 11 which is equation 1

Answer 3

By combining like terms and getting x-terms on one side and the numbers on the other then divide or multiply to get x alone. Remember whatever you do to one side you do to the other side.

For ther main problem:17x - 6 + 3x - 5 = x + 11 + 4x

Combining terms give (17x+ 3x)- 6 - 5 = (x + 4x)+ 11

which is: 20x-11=5x+11

Getting x's on one side and numbers on the other add+11-5x to both

Giving: 20x-5x=11+11

or 15x = 22

Divide both sides by 15 to give

x=22/15

3.) little tricky

Getting x on both sides add -16x to get

9x-16x=0

-7x=0

Div -7

x=0