Question

Solve the equation below.
2x + 6 - 3x - 11 + 4x = -17

Answer 1

`{ \boxed{ \: x = - 4 \: }}`

Explanation:

`2x + 6 - 3x - 11 + 4x = - 17`

• Let us first group like terms together, all x terms in their bracket and all constants in their bracket;

`(2x - 3x + 4x) + ( 6 - 11) = - 17 \\ \\ (3x) + ( - 5) = - 17 \\ \\ 3x - 5 = - 17`

• Let us add -5 on both sides in order to make 3x the subject of the equation;

`(3x - 5) + 5 = - 17 + ( 5) \\ \\ 3x = - 12`

• Let us divide both sides by 3x in order to make x the subject;

`(3x)/(3) = ( - 12)/(3) \\ \\ x = - 4`