Question

Question 7 (Essay Worth 5 points)

7.03
An equation is shown below:
5(2x - 8) + 15 =:15
Write the steps you will use to solve the equation and
explain each step,

Answer 1

`\huge\text{Hey there!}`

`\huge\textbf{Equation:}`

`\mathbf{5(2x - 8) + 15 = 15}`

`\huge\textbf{Solving for the equation:}`

`\mathbf{5(2x - 8) + 15 = 15}`

`\huge\textbf{Distribute 5 within the parentheses: }`

`\mathbf{5(2x) + 5(-8) + 15 = 15}`

`\mathbf{10x - 40 + 15 = 15}`

`\huge\textbf{Combine the like terms:}`

`\mathbf{10x + (-40 + 15) = 15}`

`\mathbf{10x - 25 = 15}`

`\huge\textbf{Add 5 to both sides:}`

`\mathbf{10x - 25 + 25 = 15 + 25}`

`\huge\textbf{Simplify it:}`

`\mathbf{10x = 15 + 25}`

`\mathbf{10x = 40}`

`\huge\textbf{Divide 10 to both sides:}`

`\mathbf{(10x)/(10) = (40)/(10)}`

`\huge\textbf{Simplify it:}`

`\mathbf{x = (40)/(10)}`

`\mathbf{x = 40 / 10}`

`\mathbf{x = 4}`

`\huge\textbf{Therefore, your answer should be:}`

`\huge\boxed{\mathsf{x = 4}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`