Think of doing the same thing to both sides.
If 7x is on one side and 2x is on the other, subtract 2x from both sides. The 2x disappears and you're left with 5x on one side.
Isolate the variable
It is not an equation because there is no equal sign
That depends on the equation. In general, you'll try to isolate the variable, by using operations (on both sides of the equation) that get rid of anything other than the variable, on the side the variable is on.
If both sides of an equation are not equal, it won't be an equation any more! In solving equations, the strategy is to change both sides in the same way, so that an 'equivalent' equation is produced. An equivalent equation has the same solution as the original equation. You are aiming for an equation in which the variable is alone on one side. The quantity on the other side is the solution.
+6
A) Divide both sides of the equation by 4.
You multiply both sides of the equation by the denominator.
g - 6 = 12In order to isolate the variable 'g' you must add 6 to both sides of the equation.In algebra, you must perform the opposite operation of the one presented in the problem. For example, the equation above has "minus 6". The opposite opporation for subtraction is addition. So in this case you must ADD 6 to both sides of the equation. Performing the operation to both sides of the equation is essentially multiplying the entire equation by 1, and any time you multiply something by 1 you get the same thing. Because of this, adding to both sides of the equation does not change the final answer.So..g - 6 = 12+6 +6g = 18
combining like terms or subtracting from both sides of the equation.
RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign.RULE #2: to move or cancel a quantity or variable on one side of the equation, perform the "opposite" operation with it on both sides of the equation.
When you solve a one-variable equation, your goal is to isolate the variable.To isolate the variable means to make it be alone on one side of the equals sign.In the equation shown here, you can isolate the variable by subtracting 9 from both sides of the equation and simplifying
Isolate the variable
32
It is not an equation because there is no equal sign
check the solution.
The variables may have different values.
That depends on the equation. In general, you'll try to isolate the variable, by using operations (on both sides of the equation) that get rid of anything other than the variable, on the side the variable is on.