Question

An equation is shown below:

6(2x - 11) + 15 = 21

Write the steps you will use to solve the equation and explain each step. (5 points)

Answer 1

Here are the steps to solve the equation 6(2x - 11) + 15 = 21:

Step 1: Simplify the expression inside the parentheses by distributing the 6:
6(2x - 11) + 15 = 21
12x - 66 + 15 = 21
Now, we have simplified the left-hand side of the equation.

Step 2: Combine like terms on the left-hand side of the equation:
12x - 66 + 15 = 21
12x - 51 = 21
Now, the left-hand side of the equation is simplified further.

Step 3: Add 51 to both sides of the equation to isolate the variable term:
12x - 51 = 21
12x = 72
Now, we have isolated the variable term on the left-hand side of the equation.

Step 4: Divide both sides of the equation by 12 to solve for x:
12x = 72
x = 6
Now, we have solved for x.

Therefore, the solution to the equation is x = 6.