Solving an equation with a variable on both sides involves isolating the variable by performing algebraic manipulations such as adding, subtracting, multiplying...
Solving an equation with a variable on both sides involves isolating the variable by performing algebraic manipulations such as adding, subtracting, multiplying, or dividing both sides of the equation.
Here's how to solve an equation with a variable on both sides:
Add or subtract the same amount from both sides of the equation.
Multiply or divide both sides of the equation by the same number.
Combine like terms on both sides using addition, subtraction, multiplication, or division.
Perform the same operations on both sides to get a single variable term on one side.
Examples:
Example 1:
Solve the equation: x + 3 = 15
Solution:
Add 3 to both sides:
x + 3 = 15
Subtract 3 from both sides:
x = 12
Example 2:
Solve the equation: 2x - 4 = 12
Solution:
Add 4 to both sides:
2x - 4 + 4 = 12 + 4
2x = 16
Divide both sides by 2:
x = 8
Tips for Solving Equations with Variables on Both Sides:
Break down the equation into smaller steps.
Use the properties of equality to simplify the equation.
Check your answer by substituting it back into the original equation.
Practice solving different types of equations with variables on both sides