Question

The solution for 7x+4=x-2 is?

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x = -1}`

Explanation:

We want to solve the following equation:

`\sf 7x+4=x-2`

▪ Add 2 to both sides:

`\sf 7x+4+2=x-2+2`

Simplify:

`\sf 7x+6=x`

▪ Subtract 7x from both sides:

`\sf 7x+6-7x=x-7x`

Simplify:

`\sf 6=-6x`

▪ Divide both sides by -6:

`\sf (6)/(-6) = (-6x)/(-6)`

Simplify:

`\boxed{\sf x = -1}`

Conclusion:

The solution of the equation 7x + 4 = x - 2 is -1.