Question

Solve for x.5(x – 8) = 7(x – 4)Enter your answer in the box.X =

Answer 1

The question is given to be:

`5\left(x-8\right)=7\left(x-4\right)`

Step 1: Expand the parentheses using the distributive property given to be

`a\lparen b-c)=a\cdot b-a\cdot c`

Thus, we have:

`5x-40=7x-28`

Step 2: Subtract 5x from both sides

`\begin{gathered} 5x-40-5x=7x-28-5x \\ -40=2x-28 \end{gathered}`

Step 3: Add 28 to both sides

`\begin{gathered} -40+28=2x \\ -12=28 \end{gathered}`

Step 4: Divide both sides by 2