Question

Solve for x? 11x + 6 = 8x + 30

Answer 1

We have,

`11x + 6 = 8x + 30`

`\implies \: 11x - 8x = 30 - 6`

`\implies \: 3x = 24`

`\implies \: x = \cancel(24)/(3)`

`\implies \: x = 8`

Hence,the value of x is 8 .

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{x = 8}}}}}`

Explanation:

`\sf{11x + 6 = 8x + 30}`

Move 8x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

`\dashrightarrow { \sf{11x - 8x = 30 - 6}}`

Collect like terms

`\dashrightarrow{ \sf{3x = 30 - 6}}`

Subtract 6 from 30

`\dashrightarrow{ \sf{3x = 24}}`

Divide both sides by 3

`\dashrightarrow{ \sf{ (3x)/(3) = (24)/(3) }}`

Calculate

`\dashrightarrow{ \sf{x = 8}}`

Hope I helped!

Best regards! :D