Solving an equation with a variable on both sides one solution ex1, 5g+4(–5+3g)=1–g

The video tutorial explains how to solve equations with variables on both sides. It emphasizes simplifying equations using the order of operations, combining like terms, and solving two-step equations. The tutorial also covers the importance of getting variables on one side and reducing fractions to find the final solution.

What is the main goal when solving equations with variables on both sides?

• To find the value of the variable

• To eliminate all variables

• To ensure both sides are equal

• To simplify the equation to a one-step equation

Which operation is used first when simplifying the equation 5G + 4(-5 + 3G)?

• Addition

• Subtraction

• Division

• Multiplication

What is the result of combining like terms in the equation 5G + 12G - 20?

• 5G + 12G

• 17G + 20

• 12G - 5G

• 17G - 20

Why is it beneficial to solve for the variable with the larger numeric coefficient?

• To simplify the equation further

• To increase the number of solutions

• To make the equation more complex

• To avoid negative numbers

What is the reduced form of the fraction 21/18?

• 7/6

• 3/2

• 5/4

• 6/5