Question

-4x+1=2x-17 What is the solution for x ?

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}`

Explanation:

`\sf{ - 4x + 1 = 2x - 17}`

Move 2x to left hand side and change it's sign

Similarly, move 1 to right hand side and change it's sign

`\dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}`

Collect like terms

`\dashrightarrow{ \sf{ - 6x = - 17 - 1}}`

The negative integers are always added but posses the negative ( - ) sign

`\dashrightarrow{ \sf{ - 6x = - 18}}`

Divide both sides by -6

`\dashrightarrow{ \sf{ ( - 6x)/( - 6) = ( - 18)/( - 6)}}`

Calculate

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

Hope I helped!

Best regards! :D