Pre-Algebra › One-Step Equations with Integers
Solve for :
Solve for :
Isolate the variable to one side.
Subtract from both sides:
Isolate the variable by dividng both sides by 2:
Your answer should be the following:
Solve the following equation:
In order to solve this equation, you have to isolate the variable to one side by reversing the operations done to it. Whatever is done on one side of the equals sign must be done on the other side of the equals sign as well. When the variable is by itself, it will be defined as whatever is left on the other side of the equals sign, and the equation is solved.
Subtract from each side.
To solve this equation, isolate the variable. Since 3x is a multiplication operation, do the opposite (division) to remove the 3. Keep in mind that you must do the same step on each side of the equation every time you change something.
To solve this equation, you must isolate the variable. In order to do this, do the opposite operation (division) to move the 9 to the other side of the equation. Keep in mind you must do the same step on each side of the equation every time you change something.
Your result shoud look like this:
Solve for
In order to isolate on one side, we add 8 to both sides.
This gives us:
Solve for :
To isolate , we must move all other numbers to the right hand side. Therefore, we must divide both sides by 4.
Solve for x:
Step 1: isolate x
Step 2: solve
If it's helpful, when you subtract a positive integer from a negative integer, you can think of it in terms of absolute value:
Solve.
Because the signs are different (63 is negative, 15 is positive) we can subtract:
Remember: the largest number always keeps its sign!