Question

What is the solution to this equation? 5x + 15 + 2x = 24 + 4x

Answer 1

5

x

+

15

+

2

x

=

24

+

4

x

Add

5

x

and

2

x

.

7

x

+

15

=

24

+

4

x

Move all terms containing

x

to the left side of the equation.

3

x

+

15

=

24

Move all terms not containing

x

to the right side of the equation.

3

x

=

9

Divide each term by

3

and simplify.

x

=

3

Answer 2

To solve this equation, we must get all of the variables to one side of the equation and all of the constants (numbers) to the other side of the equation. To begin, however, we must add together the two terms on the left side of the equation that both have variables.

5x + 15 + 2x = 24 + 4x

7x + 15 = 24 + 4x

Next, we should subtract 4x from both sides of the equation so that the 4x on the right side cancels out and all of the variable terms are now on the left side.

3x + 15 = 24

Similarly, we also want to subtract 15 from both sides of the equation so that all of the constants are on the right side of the equation and we can get the variable alone on the left side.

3x = 9

Finally, we should divide both sides of the equation by 3 so that we can get rid of the coefficient of 3 on the variable x and get our answer.

x = 3

Therefore, your answer is x = 3.

Hope this helps!