Please help me step by step on how to get the answer.1.Solve for x. Show each step to the solution. 4.5(8 – x) + 22 = 102

Sctskw asked Apr 19, 2023

63,915 views

36 votes

Please help me step by step on how to get the answer.1.Solve for x. Show each step to the solution. 4.5(8 – x) + 22 = 102 – 2.5(5x + 24)

Sctskw asked Apr 19, 2023

2.5k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

20 votes

The given equation is,

Solving for x

Expanding both sides of the equation

$\begin{gathered} 4.5*8+4.5*-x+22=102-2.5*5x-2.5*24 \\ 36+22-4.5x=102-12.5x-60 \\ 58-4.5x=102-60-12.5x \\ 58-4.5x=42-12.5x \end{gathered}$

Collect like terms

$\begin{gathered} -4.5x+12.5x=42-58 \\ 8x=-16 \end{gathered}$

Divide both sides by 8

$\begin{gathered} (8x)/(8)=-(16)/(8) \\ x=-2 \end{gathered}$

Hence,

Justi answered Apr 23, 2023

by Justi

3.1k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers