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,

Respuesta :

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]

[tex]\huge\textbf{Distribute 5 within the parentheses: }[/tex]

[tex]\mathbf{5(2x) + 5(-8) + 15 = 15}[/tex]

[tex]\mathbf{10x - 40 + 15 = 15}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{10x + (-40 + 15) = 15}[/tex]

[tex]\mathbf{10x - 25 = 15}[/tex]

[tex]\huge\textbf{Add 5 to both sides:}[/tex]

[tex]\mathbf{10x - 25 + 25 = 15 + 25}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{10x = 15 + 25}[/tex]

[tex]\mathbf{10x = 40}[/tex]

[tex]\huge\textbf{Divide 10 to both sides:}[/tex]

[tex]\mathbf{\dfrac{10x}{10} = \dfrac{40}{10}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{40}{10}}[/tex]

[tex]\mathbf{x = 40 \div 10}[/tex]

[tex]\mathbf{x = 4}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 4}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]