#### Answer

a. No, -2 is not a solution of the given equation.
b. Yes, 2 is solution of the given equation.

#### Work Step by Step

First, simplify the equation
1.$4x+7=9x-3$
2. Add 3 to both sides:$4x+10=9x$
3. Subtract 4x from both sides: $10=5x$
a. Plug in -2 to see if it makes the equation true:
1. $10=5\times-2$
2. $10=-10$ The equation is not true, so -2 is not a solution of the equation.
b. Plug in 2 to see if it makes the equation true:
1. $10=5\times2$
2. $10=10$ The equation is true, so 2 is a solution of the equation.