Question

2(x + 31.5) = 3x + 24

Answer 1

`x=39`

Explanation:

`2\left(x+31.5\right)=3x+24`

`\textbf{Apply the distributive law:-}`

`a(b+c)=ab+ac`

here, a= 2, b=x, c= 31.5

`2\left(x+31.5\right)`

`\textbf{Multiple:-}`
`2\cdot \:31.5=63`

`=2x+63`

`2x+63=3x+24`

`\textbf{Now, Subtract 63 from both sides:-}`

`2x+63-63=3x+24-63`

`2x=3x-39`

`\textbf{\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}:-}`

`2x-3x=3x-39-3x`

`-x=-39`

`\textbf{\mathrm{Divide\:both\:sides\:by\:}-1:-}`

`(-x)/(-1)=(-39)/(-1)`

`x=39`

`\textbf{OAmalOHopeO}`

Answer 2

2(x + 31.5) = 3x + 24

2x+63= 3x+24

2x+63-63=3x+24-63

x=39