Question

1.Solve for x. Show each step of the solution. 2.5(4 – x) + 16 = 72 – 5(2x + 20)

Answer 1

Applying the distributive property we get:

`\begin{gathered} 2.5\cdot4-2.5x+16=72-5\cdot2x-5\cdot20, \\ 10-2.5x+16=72-10x-100. \end{gathered}`

Adding like terms we get:

`26-2.5x=-28-10x\text{.}`

Adding 10x to the above equation we get:

`\begin{gathered} 26-2.5x+10x=-28-10x+10x, \\ 26+7.5x=-28. \end{gathered}`

Subtracting 26 from the above equation we get:

`\begin{gathered} 26+7.5x-26=-28-26, \\ 7.5x=-54 \end{gathered}`

Finally, dividing the above equation by 7.5 we get:

`\begin{gathered} (7.5x)/(7.5)=(-54)/(7.5), \\ x=-7.2. \end{gathered}`