What does it mean for a number to be the "solution" to an equation?

Imagine you are teaching a fellow student how to solve:
4 − (x + 2) = 6 − 5(x + 4)

In your own words, explain the process for solving this equation. Please include your work at each step of the process along with the final answer.

Question

What does it mean for a number to be the "solution" to an equation? 


Imagine you are teaching a fellow student how to solve:
4 − (x + 2) = 6 − 5(x + 4)

In your own words, explain the process for solving this equation. Please include your work at each step of the process along with the final answer.

anonymous · Answer

for a number to be the soluton to an equation when it is plugged into the equation it must solve it

anonymous · Answer

i dnt exactly know how your teacher may want this done but u should simply the eqn then solve for x...so u wld have 4-x-2=6-5x-20 next line would be rearange 4-2-x=6-20-5x next line wld be 2-x=-14-5x next line wld be 2+14=-5x+x next line 16=-4x divide bothe sides by -4 and x= -4

anonymous · Answer

4-((-4)+2)  should equal 6-5((-4)+4)
4-(-2)                            6-5 (0) .....5x0=0 so 6-0
6                                    6

precal · Answer

|dw:1341522484398:dw|
set them up as 2 equations to graph and the solution will be the cross point