Question

Drag a reason to each box to complete this proof. If 5x - 4 + 13x = 5, then X = 12/2 2* Statement 5x4 + 13x = 5 18x - 4 = 5 18x = 9 x = 1/1/2 Substitution Property of Equality Reason Given 1 X I 1 I 1 1 1 1 Combine like terms. Addition Property of Equality Symmetric Property of Equality Division Property of Equality​

Answer 1

To solve the equation 5x - 4 + 13x = 5, combine like terms, add 4 to both sides, and then divide by 18. The solution is x = 1/2.

To solve the equation 5x - 4 + 13x = 5, you need to isolate the variable x. Start by combining like terms on the left side of the equation. 5x + 13x - 4 = 5 simplifies to 18x - 4 = 5. Next, add 4 to both sides to get 18x = 9. Then, divide both sides by 18 to find x = 9/18, which simplifies to x = 1/2.

The reason for each step is:

Combine like terms: 5x + 13x = 18x

Add 4 to both sides: 18x - 4 + 4 = 5 + 4

Divide both sides by 18: 18x/18 = 9/18