Question

Rite this equation on your paper. You will identify the correct steps that are needed to solve it using the appropriate and correct math terminology. You will then give the solution to the equation. Answer each question below. Given the equation 2(x - 3) - 17 = 13-3(x + 2), you first should

A. combine like terms
B. solve for x
C. use the distributive property to remove the parentheses
D. rewrite the equation so that the variable is on the left Rewrite the equation on your paper using the step you have chosen.

Answer 1

To solve the given equation, use the distributive property to remove the parentheses, combine like terms, and isolate the variable x to find that x equals 6. Then, verify the solution is correct by substituting it back into the original equation.option c is correct.

Step-by-step explanation:

Given the algebraic equation 2(x - 3) - 17 = 13 - 3(x + 2), the first step should be to use the distributive property to remove the parentheses.

Step 1: Apply the distributive property:

2x - 6 - 17 = 13 - 3x - 6.

Step 2: Combine like terms on both sides of the equation:

2x - 23 = 7 - 3x.

Step 3: Add 3x to both sides to get all x terms on one side and constant terms on the other:

5x - 23 = 7.

Step 4: Add 23 to both sides to isolate the term with the variable:

5x = 30.

Step 5: Divide both sides by 5 to solve for x:

x = 6.

Lastly, we check the answer to see if it is reasonable by substituting x = 6 back into the original equation and verifying both sides are equal.