When you have a variable on both sides how do you solve the equation 2m+12=3m–13

The video tutorial explains how to solve equations with two variables on opposite sides. It begins by identifying the presence of multiple variables and the need to bring them to one side. The instructor demonstrates eliminating the variable with the smallest coefficient and solving the resulting equation. The process involves simplifying the equation and isolating the variable to find the solution.

What is the first step when you encounter an equation with variables on both sides?

• Get the variables on the same side.

• Multiply both sides by the same number.

• Move all terms to one side.

• Add the variables together.

Why do we eliminate the variable with the smaller coefficient?

• To make the equation more complex.

• To simplify the equation.

• To avoid fractions.

• To increase the number of steps.

What operation is used to eliminate a variable from one side of the equation?

• Division

• Multiplication

• Subtraction

• Addition

Once the variables are on the same side, what type of equation do you have?

• A linear equation

• A quadratic equation

• A one-step equation

• A two-step equation

What is the final step in solving the equation after simplifying it?

• Divide by the coefficient of the variable.

• Add or subtract to isolate the variable.

• Multiply both sides by the variable.

• Square both sides of the equation.