Question

Lesson 1-3: Solving Equations with a Variable on Both Sides

Use properties of equality to solve linear equations. Use the Distributive Property and combine
like terms, when needed.
To solve equations with a variable on both sides, rewrite the equation so that all the variable
terms are on one side of the equation and the contents are on the other. Then solve for the
value of the variable.
Example:
I

Answer 1

To solve equations with a variable on both sides, use the distributive property and combine like terms. Then use the addition or subtraction property of equality to isolate the variable on one side.

Step-by-step explanation:

When solving equations with a variable on both sides, the goal is to get the variable terms on one side and the constants on the other side.

Start by using the distributive property to eliminate parentheses and combine like terms. Then, use the addition or subtraction property of equality to isolate the variable on one side.

For example, if we have the equation 3x + 5 = 2x + 10, we can subtract 2x from both sides to get x + 5 = 10. Finally, subtract 5 from both sides to solve for x and get x = 5.

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