Solve equations with variables on both sides: complete the solution II

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3Solve equations with variables on both sides: complete the solution IIXYR

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Incomplete answer

You did not finish the question. Do you want to go back to the question?

Complete the process of solving the equation.

Fill in all missing terms and select all missing descriptions. Simplify any fractions.

Add 5a to both sides

Subtract 5a from both sides

Multiply both sides by 5a

Divide both sides by 5a

Apply the distributive property

Add 19 to both sides

Subtract 19 from both sides

Multiply both sides by 19

Divide both sides by 19

Apply the distributive property

Add 6 to both sides

Subtract 6 from both sides

Multiply both sides by 6

Divide both sides by 6

Combine like terms

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Learn with an example

question

Complete the process of solving the equation.

Fill in all missing terms and select all missing descriptions. Simplify any fractions.

(

)

solution

To complete the process of solving the equation, understand what changes from one line to the next.

Start at the top with the first and second lines.

(

)

In the first line, 20 is multiplied by the sum

The first step is to apply the distributive property. Distribute the 20 to both terms inside the parentheses.

(

)

100

The missing description is Apply the distributive

property.

The missing term is

100

Look at the second and third lines.

100

In the second line, both sides of the equation have variable terms and no like terms to combine.

The next step is to move all of the variables to one side of the equation. Subtract

from both sides to eliminate the variable term from the right side of the equation.

100

–

The missing description is Subtract

from both

sides.

The missing term is

Look at the third and fourth lines.

In the third line, the variable

only appears once. It is on the left side, but it is not isolated. (There is also a constant term.) Undo operations to isolate the variable.

The next step is to undo the addition. Subtract 20 from both sides to eliminate the constant term from the left side of the equation.

–

The missing description is Subtract 20 from both

sides.

The missing term is 0.

Look at the fourth and fifth lines.

In the fourth line, the variable term is isolated on the left side of the equation.

The last step is to eliminate the coefficient of the variable. Divide both sides by 84 to finish solving the equation.

The missing description is Divide both sides by 84. The missing term is 0.

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