Answer: X = 3
Step-by-step explanation:
We have the initial, [tex]-3x+14=4x-7[/tex].
We have to have the unknown's on one side, and the known's on another.
Using the American Method taught in schools, we subtract 14 from both sides.
[tex]-3x+14-14=4x-7-14[/tex]
Then we simplify.
[tex]-3x=4x-21[/tex]
Then we subtract 4x from both sides.
[tex]-3x-4x=4x-21-4x[/tex]
Simplify again.
[tex]-7x=-21[/tex]
Divide both sides by -7
[tex]\frac{-7x}{-7} = \frac{-21}{-7}[/tex]
To do that division, we apply the rule [tex]\frac{-a}{-b} = \frac{a}{b}[/tex]
[tex]\frac{7x}{7}[/tex]
Divide the number excluding the x.
[tex]\frac{7}{7} = 1[/tex], leaving us with x.
Now for [tex]\frac{-21}{-7}[/tex], we can use the earlier rule to get [tex]\frac{21}{7}[/tex].
After the division we are left with 3.
Using both, we now know that x = 3.
