Next time, make sure not to confuse the x variables for multiplication signs. Here is the difference:
\(\times \ (multiplication \ sign)\\ x \ (variable)\)
Anyways:
\(-4x + 7=3x - 7\)
Add 4x to each side to remove the negative value of x (Rule: always subtract the lesser value when you are solving for a variable [this one was negative, so we added 4 instead of subtracting]):
\(7=7x-7\)
Add 7 to each side (Again, it is negative):
\(7x = 14\)
Divide by the coefficient of the variable you are solving for (x, coefficient is 7 so we divide each side by 7):
\(x=2\)