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

Question

asked Dec 9, 2024 204k views

1 Answer

RPL · Answer 1 · 2024-12-15T22:15:05+0000

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.