Question

How do you solve `3x + 7 = - 11+ 2x`?

Answer 1

`x=-18`

Explanation:

The given linear equation:

`3x+7=-11+2x`

`3x-2x=-11-7`

`x=-18`

Answer 2

`x=-18`

Explanation:

`"Collect terms in x on the left side of the equation and"`
`"numeric values on the right side"`

`"subtract "2x" from both sides"`

`3x-2x+7=-11`

`x+7=-11`

`"subtract 7 from both sides"`

`x=-11-7=-18`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=(3xx-18)+7=-54+7=-47`

`"right "=-11+(2xx-18)=-11-36=-47`

`x=-18" is the solution"`