Divide by the coefficient on both sides of the equation to solve a linear equation with one variable. The coefficient is the number shown with a variable, such as 24x. In the equation 24x = 144, divide both sides by the coefficient 24.
Do the math for 24x / 24 = 144 / 24. Dividing by the coefficient is done to isolate the variable x on one side of the equation. Simplify the resulting equation:
24x / 24 = 144 / 24
x = 6
Use subtraction and division to solve more complex equations. Consider 3x + 7 = 25. Subtract 7 from both sides of the equation: 3x + 7 - 7 = 25 - 7. This isolates the x on one side of the equation: 3x = 18. Now the equation can be solved for x by dividing by the coefficient 3: 3x / 3 = 18 / 3. The solution is x = 6.