How to solve equation step by step

Question

  11+ 4x = x -10 

Answer 1

The idea is to collect all the x's on one side and everything else on the other in order to solve for x:

11 + 4x = x - 10 this is our starting equation.

Step 1:

I'm going to isolate x on the left side (either side is ok, but it is customary to isolate the variable being solved for on the left). There is one x on the right side which can be eliminated by subtracting x from both sides. Remember that adding or subtracting the same number from both sides does not change the truth of the equation.

11 + 4x - x = x - 10 - x simplifying

11 + 3x = -10

which our new equivalent equation after step 1.

Step 2:

now subtract 11 from both sides so 3x will be left alone on the left

11 - 11 + 3x = -10 - 11 simplifying, we get

3x = - 21

Step 3:

now divide both sides by 3 so you will have one x on one side and the answer will be on the other side.

(3x) / 3 = - 21 / 3 simplifying

x = - 7 Answer!

Now, you're not done yet! ... You need to check your work by substituting the answer into the original equation:

11 + 4(-7) = (-7) - 10

11 + (-28) = -7 -10

11 - 28 = -17

-17 = -17

check! answer verified!