Question

Solve the equation for x​

Answer 1

x = 15

Step-by-step explanation:

`\sf{ (40)/(x + 1) = (15)/(6) }`

Do cross multiplication

`\dashrightarrow{ \sf{15(x + 1) = 40 * 6}}`

Distribute 15 through the parentheses

`\dashrightarrow \sf \: 15x + 15 = 40 * 6`

Multiply the numbers : 40 and 6

`\dashrightarrow{ \sf{15x + 15 = 240}}`

Move 15 to right hand side and change it's sign

`\dashrightarrow{ \sf{15x = 240 - 15}}`

Subtract 15 from 240

`\dashrightarrow \: \sf{15x = 225}`

Divide both sides by 15

`\dashrightarrow{ \sf{ (15x)/(15) = (225)/(15) }}`

Calculate

`\dashrightarrow{ \sf{x = 15}}`

Hope I helped!

Best regards! :D