How do I solve this equation?. We need to solve for "X", this mean leave "X" alone.
Let's remember that equations are formed by Numbers: 2,3,-3,0 etc.., variable(s): X, Y, Z, A, B etc. and an equal sign "="
Since we have a parenthesis, we multiply "6 times X" and "6 times 9", getting as a result "6X + 54"
You have to group all your common terms from each side, as you can see, you can group (-54-5) that equals (-59).
We have the right and the left side separated by the equal sign. It is very important to understand that anytime you move a number or a variable from one side to another (right to left or left to right) , you need to eliminate it by doing the opposite. If you are adding, you subtract, if you are subtracting you add, if you are multiplying you divide, and if you are dividing you multiply.
Let's move all the variables ( the numbers that have the X) to the left side. By subtracting 6X, you can move it from the right to the left.
Now you can worry about your numbers.
We can move -2 from the left to the right by adding 2 to both sides.
Now we have that -3 is multiplying our variable, remember that we need to leave "X" alone so let's divide by
-3 both sides (left and right)
As you can see we since we have a negative numerator (-57) and denominator (-3), our answer is positive because (-) times (-) is (+)
Our answer is X= 19, that means that when we plug 19 into our original equation, we will get the same number on the left and the right side.
3X -2 = 6(X-9) -5
3(19) -2 = 6(19-9) -5
57 -2= 6(10) -5
55= 60 -5
55= 55