how do i sove this problem -12q+4=8q-6
-12+4=8q-6
First you want to get the variable isolated on one side. To do that, you can do one of two things. We'll put the variable on the right side. You need to put the -12q on the right. Do you know how to do that? You have to add -12 q to both sides. The addition and subtraction cancel each other out on the left side so your left with 4 and on the right you now have
8q-6+12q
You can combine the q's now and come up with 20q-6 on the right side. Now you need to get rid of the 6. JUst like before, you need to add 6 to both sides. The subtration and addition cancel each other out. So on the left you have 4+6 and on the right you have 20q
4+6=10 so you have the equation
10=20q
Divide both sides by twenty...
To solve for q, you need to divide both sides of the equation by 20. By doing this, the 20q on the right side of the equation will cancel out, leaving you with the value of q on the right side.
Therefore, dividing both sides of the equation 10=20q by 20 gives you:
10/20 = (20q)/20
Simplifying the left side gives you:
1/2 = q
So, the solution to the equation -12q+4=8q-6 is q = 1/2.