How do you solve an equation with variables on both sides solve 15+6x=45+8x
15+6x=45+8x
move all the x stuff to the left
15+6x-8x = 45
move all the other stuff to the right
6x+8x = 45-15
14x = 30
x = 30/14 = 15/7
".... move all the other stuff to the right
6x+8x = 45-15"
should have been:
6x - 8x = 45 - 15
-2x = 30
x = -15
To solve an equation with variables on both sides, you can follow the steps below:
Step 1: Collect the variable terms on one side of the equation and the constant terms on the other side. In this case, let's subtract 6x from both sides and subtract 45 from both sides:
15 + 6x - 6x = 45 + 8x - 6x
Simplifying the equation:
15 = 45 + 2x
Step 2: Now, we want to isolate the variable by getting rid of the constant term on the same side. To do that, subtract 45 from both sides:
15 - 45 = 45 + 2x - 45
Simplifying the equation:
-30 = 2x
Step 3: Finally, solve for x by isolating it. In this case, divide both sides of the equation by 2:
-30 / 2 = 2x / 2
Simplifying the equation:
-15 = x
So, the solution to the equation 15+6x=45+8x is x = -15.